What is the LCM of 125 and 500 - Find out answer step by step

Definition of LCM

LCM stands for least common multiple. In mathematics, LCM of two numbers 125 and 500, is defined as the smallest positive integer that is divisible by both. It is written as LCM(125, 500).

Properties of LCM

The LCM of two or more prime numbers is exactly equal to their product.
LCM is associative which means LCM(125, 500) = LCM(500, 125).
LCM is commutative which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
LCM is distributive, which means LCM(ab, bc, ad) = d * LCM(x, y, z).
The LCM of two given numbers is always greater than the given numbers numbers. Eg- LCM of 125 and 500 is 500, where 500 is greater than 125 and 500.

Steps to find lcm of 125 and 500 by Listing Method

Find some first multiples of 125 and 500.
Find the least common multiple, and read off the answer!

Example: Find lcm of 125 and 500 by Listing Method

Multiples of 125: 125, 250, 375, 500, 625, 750, 875, 1000, 1125, 1250, 1375, 1500, 1625, 1750, 1875, 2000, 2125, 2250, 2375, 2500, 2625, 2750, 2875, 3000, 3125, 3250, 3375, 3500, 3625, 3750, 3875, 4000, 4125, 4250, 4375, 4500, 4625, 4750, 4875, 5000, 5125, 5250, 5375, 5500, 5625, 5750, 5875, 6000, 6125, 6250, 6375, 6500, 6625, 6750, 6875, 7000, 7125, 7250, 7375, 7500, 7625, 7750, 7875, 8000, 8125, 8250, 8375, 8500, 8625, 8750, 8875, 9000, 9125, 9250, 9375, 9500, 9625, 9750, 9875, 10000, 10125, 10250, 10375, 10500, 10625, 10750, 10875, 11000, 11125, 11250, 11375, 11500, 11625, 11750, 11875, 12000, 12125, 12250, 12375, 12500, 12625, 12750, 12875, 13000, 13125, 13250, 13375, 13500, 13625, 13750, 13875, 14000, 14125, 14250, 14375, 14500, 14625, 14750, 14875, 15000, 15125, 15250, 15375, 15500, 15625, 15750, 15875, 16000, 16125, 16250, 16375, 16500, 16625, 16750, 16875, 17000, 17125, 17250, 17375, 17500, 17625, 17750, 17875, 18000, 18125, 18250, 18375, 18500, 18625, 18750, 18875, 19000, 19125, 19250, 19375, 19500, 19625, 19750, 19875, 20000, 20125, 20250, 20375, 20500, 20625, 20750, 20875, 21000, 21125, 21250, 21375, 21500, 21625, 21750, 21875, 22000, 22125, 22250, 22375, 22500, 22625, 22750, 22875, 23000, 23125, 23250, 23375, 23500, 23625, 23750, 23875, 24000, 24125, 24250, 24375, 24500, 24625, 24750, 24875, 25000, 25125, 25250, 25375, 25500, 25625, 25750, 25875, 26000, 26125, 26250, 26375, 26500, 26625, 26750, 26875, 27000, 27125, 27250, 27375, 27500, 27625, 27750, 27875, 28000, 28125, 28250, 28375, 28500, 28625, 28750, 28875, 29000, 29125, 29250, 29375, 29500, 29625, 29750, 29875, 30000, 30125, 30250, 30375, 30500, 30625, 30750, 30875, 31000, 31125, 31250, 31375, 31500, 31625, 31750, 31875, 32000, 32125, 32250, 32375, 32500, 32625, 32750, 32875, 33000, 33125, 33250, 33375, 33500, 33625, 33750, 33875, 34000, 34125, 34250, 34375, 34500, 34625, 34750, 34875, 35000, 35125, 35250, 35375, 35500, 35625, 35750, 35875, 36000, 36125, 36250, 36375, 36500, 36625, 36750, 36875, 37000, 37125, 37250, 37375, 37500, 37625, 37750, 37875, 38000, 38125, 38250, 38375, 38500, 38625, 38750, 38875, 39000, 39125, 39250, 39375, 39500, 39625, 39750, 39875, 40000, 40125, 40250, 40375, 40500, 40625, 40750, 40875, 41000, 41125, 41250, 41375, 41500, 41625, 41750, 41875, 42000, 42125, 42250, 42375, 42500, 42625, 42750, 42875, 43000, 43125, 43250, 43375, 43500, 43625, 43750, 43875, 44000, 44125, 44250, 44375, 44500, 44625, 44750, 44875, 45000, 45125, 45250, 45375, 45500, 45625, 45750, 45875, 46000, 46125, 46250, 46375, 46500, 46625, 46750, 46875, 47000, 47125, 47250, 47375, 47500, 47625, 47750, 47875, 48000, 48125, 48250, 48375, 48500, 48625, 48750, 48875, 49000, 49125, 49250, 49375, 49500, 49625, 49750, 49875, 50000, 50125, 50250, 50375, 50500, 50625, 50750, 50875, 51000, 51125, 51250, 51375, 51500, 51625, 51750, 51875, 52000, 52125, 52250, 52375, 52500, 52625, 52750, 52875, 53000, 53125, 53250, 53375, 53500, 53625, 53750, 53875, 54000, 54125, 54250, 54375, 54500, 54625, 54750, 54875, 55000, 55125, 55250, 55375, 55500, 55625, 55750, 55875, 56000, 56125, 56250, 56375, 56500, 56625, 56750, 56875, 57000, 57125, 57250, 57375, 57500, 57625, 57750, 57875, 58000, 58125, 58250, 58375, 58500, 58625, 58750, 58875, 59000, 59125, 59250, 59375, 59500, 59625, 59750, 59875, 60000, 60125, 60250, 60375, 60500, 60625, 60750, 60875, 61000, 61125, 61250, 61375, 61500, 61625, 61750, 61875, 62000, 62125, 62250, 62375, 62500
Multiples of 500: 500, 1000, 1500, 2000, 2500, 3000, 3500, 4000, 4500, 5000, 5500, 6000, 6500, 7000, 7500, 8000, 8500, 9000, 9500, 10000, 10500, 11000, 11500, 12000, 12500, 13000, 13500, 14000, 14500, 15000, 15500, 16000, 16500, 17000, 17500, 18000, 18500, 19000, 19500, 20000, 20500, 21000, 21500, 22000, 22500, 23000, 23500, 24000, 24500, 25000, 25500, 26000, 26500, 27000, 27500, 28000, 28500, 29000, 29500, 30000, 30500, 31000, 31500, 32000, 32500, 33000, 33500, 34000, 34500, 35000, 35500, 36000, 36500, 37000, 37500, 38000, 38500, 39000, 39500, 40000, 40500, 41000, 41500, 42000, 42500, 43000, 43500, 44000, 44500, 45000, 45500, 46000, 46500, 47000, 47500, 48000, 48500, 49000, 49500, 50000, 50500, 51000, 51500, 52000, 52500, 53000, 53500, 54000, 54500, 55000, 55500, 56000, 56500, 57000, 57500, 58000, 58500, 59000, 59500, 60000, 60500, 61000, 61500, 62000, 62500

Hence, LCM of 125 and 500 is 500.

Steps to find LCM of 125 and 500 by Common Division Method

Find all the prime numbers that would divide 125 and 500 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 125 and 500 by Common Division Method

2	125 500
2	125 250
5	125 125
5	25 25
5	5 5
	1 1

Hence, LCM of 125 and 500 is 2 x 2 x 5 x 5 x 5 = 500.

Steps to find lcm of 125 and 500 by Formula

The formula for LCM is LCM (125, 500) = (125 x 500) / GCF (125, 500)
Apply the formula, and read off the answer!

Example: Find lcm of 125 and 500 by Formula

GCF of 125 and 500 = 125
LCM of 125 and 500 = (125 x 500) / 125
=> 62500 / 125

Hence, LCM of 125 and 500 is 500.

Examples

Steve spends 125 dollars every day while George spends 500 dollars every day. What is the least number of days it will take each person to spend the same amount of money?

To find the least number of days that would be taken to be able to spend the same amount of dollars we need to find the LCM of 125 and 500.
So, LCM of 125 and 500 is 500.

Boxes that are 125 inches tall are being pilled next to boxes that are 500 inches tall. What is the least height in feet at which the two piles will be the same height?

To find the least height in feet at which the two piles will be at same height we will find LCM of 125 and 500.
So, LCM of 125 and 500 is 500.

Sammy's company prints 125 textbooks at a time. Daniel's company prints textbooks in sets of 500 at a time. According to a survey done by a committee, both companies printed the same number of textbooks last year. Find the least number of books that each company would have printed.

To find the least number of textbooks that each company could have printed we need to find the LCM of 125 and 500.
So, LCM of 125 and 500 is 500.

Ram and Deepika are running on a circular track. They start at the same time. They take 125 and 500 minutes respectively to go round once. Find at what time they will run together?

Ram and Deepika are running on a circular track. They take 125 and 500 minutes respectively to go round once. We need to find out at what time (minimum) they will run together again. For this we need to find the LCM of 125 and 500.
So, LCM of 125 and 500 is 500.

Find the LCM of 125 and 500 using GCF method.

Greatest common factor or gcf of 125 and 500 is GCF(125, 500) x LCM(125, 500) = (125 x 500) / GCF(125, 500) = 500.

Find the least common multiple of 125 and 500.

Least common multiple of 125 and 500 is 500.

Find the least number which is exactly divisible by 125 and 500.

Least number which is exactly divisible by 125 and 500 is 500.

What is LCM of 125 and 500?

How to find lcm of two numbers

Definition of LCM

Properties of LCM

Steps to find lcm of 125 and 500 by Listing Method

Example: Find lcm of 125 and 500 by Listing Method

Steps to find LCM of 125 and 500 by Common Division Method

Example: Find lcm of 125 and 500 by Common Division Method

Steps to find lcm of 125 and 500 by Formula

Example: Find lcm of 125 and 500 by Formula

Examples

What is LCM of 125 and 500?

How to find lcm of two numbers

Definition of LCM

Properties of LCM

Steps to find lcm of 125 and 500 by Listing Method

Example: Find lcm of 125 and 500 by Listing Method

Steps to find LCM of 125 and 500 by Common Division Method

Example: Find lcm of 125 and 500 by Common Division Method

Steps to find lcm of 125 and 500 by Formula

Example: Find lcm of 125 and 500 by Formula

Examples

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