What is the LCM of 169 and 25 - Find out answer step by step

What is LCM?

In mathematics, least common multiple, which is ordinarily reffered to as LCM is characterized as the smallest non-zero number which is divisible by both given numbers 169 and 25.

Properties of LCM

The LCM of two or more prime numbers is exactly equal to their product.
LCM is associative which means LCM(169, 25) = LCM(25, 169).
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 169 and 25 is 4225, where 4225 is greater than 169 and 25.

Steps to find lcm of 169 and 25 by Listing Method

Find some first multiples of 169 and 25.
Find the least common multiple, and read off the answer!

Example: Find lcm of 169 and 25 by Listing Method

Multiples of 169: 169, 338, 507, 676, 845, 1014, 1183, 1352, 1521, 1690, 1859, 2028, 2197, 2366, 2535, 2704, 2873, 3042, 3211, 3380, 3549, 3718, 3887, 4056, 4225
Multiples of 25: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350, 375, 400, 425, 450, 475, 500, 525, 550, 575, 600, 625, 650, 675, 700, 725, 750, 775, 800, 825, 850, 875, 900, 925, 950, 975, 1000, 1025, 1050, 1075, 1100, 1125, 1150, 1175, 1200, 1225, 1250, 1275, 1300, 1325, 1350, 1375, 1400, 1425, 1450, 1475, 1500, 1525, 1550, 1575, 1600, 1625, 1650, 1675, 1700, 1725, 1750, 1775, 1800, 1825, 1850, 1875, 1900, 1925, 1950, 1975, 2000, 2025, 2050, 2075, 2100, 2125, 2150, 2175, 2200, 2225, 2250, 2275, 2300, 2325, 2350, 2375, 2400, 2425, 2450, 2475, 2500, 2525, 2550, 2575, 2600, 2625, 2650, 2675, 2700, 2725, 2750, 2775, 2800, 2825, 2850, 2875, 2900, 2925, 2950, 2975, 3000, 3025, 3050, 3075, 3100, 3125, 3150, 3175, 3200, 3225, 3250, 3275, 3300, 3325, 3350, 3375, 3400, 3425, 3450, 3475, 3500, 3525, 3550, 3575, 3600, 3625, 3650, 3675, 3700, 3725, 3750, 3775, 3800, 3825, 3850, 3875, 3900, 3925, 3950, 3975, 4000, 4025, 4050, 4075, 4100, 4125, 4150, 4175, 4200, 4225

Hence, LCM of 169 and 25 is 4225.

Steps to find LCM of 169 and 25 by Common Division Method

Find all the prime numbers that would divide 169 and 25 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 169 and 25 by Common Division Method

5	169 25
5	169 5
13	169 1
13	13 1
	1 1

Hence, LCM of 169 and 25 is 5 x 5 x 13 x 13 = 4225.

Steps to find lcm of 169 and 25 by Formula

The formula for LCM is LCM (169, 25) = (169 x 25) / GCF (169, 25)
Apply the formula, and read off the answer!

Example: Find lcm of 169 and 25 by Formula

GCF of 169 and 25 = 1
LCM of 169 and 25 = (169 x 25) / 1
=> 4225 / 1

Hence, LCM of 169 and 25 is 4225.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 169 and 25 minutes respectively to go round once. Find at what time they will run together?

Franky and Joy are running on a circular track. They take 169 and 25 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 169 and 25.
So, LCM of 169 and 25 is 4225.

A shopkeeper sells candies in packet of 169 and chocolates in packet of 25. What is the least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate?

The least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate we need to find the lcm of 169 and 25.
So, LCM of 169 and 25 is 4225.

Boxes that are 169 inches tall are being pilled next to boxes that are 25 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 169 and 25.
So, LCM of 169 and 25 is 4225.

Sammy's company prints 169 textbooks at a time. Daniel's company prints textbooks in sets of 25 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 169 and 25.
So, LCM of 169 and 25 is 4225.

What is the relation between LCM and GCF( Greatest Common Factor)?

Greatest common factors or gcf of 169 and 25 is GCF(169, 25) * LCM(169, 25) = (169 x 25) / GCF(169, 25) = 4225.

Find the least number which is exactly divisible by 169 and 25.

Least number which is exactly divisible by 169 and 25 is 4225.

Find the LCM of 169 and 25 using GCF method.

Greatest common factor or gcf of 169 and 25 is GCF(169, 25) x LCM(169, 25) = (169 x 25) / GCF(169, 25) = 4225.

What is LCM of 169 and 25?

How to find lcm of two numbers

What is LCM?

Properties of LCM

Steps to find lcm of 169 and 25 by Listing Method

Example: Find lcm of 169 and 25 by Listing Method

Steps to find LCM of 169 and 25 by Common Division Method

Example: Find lcm of 169 and 25 by Common Division Method

Steps to find lcm of 169 and 25 by Formula

Example: Find lcm of 169 and 25 by Formula

Examples

What is LCM of 169 and 25?

How to find lcm of two numbers

What is LCM?

Properties of LCM

Steps to find lcm of 169 and 25 by Listing Method

Example: Find lcm of 169 and 25 by Listing Method

Steps to find LCM of 169 and 25 by Common Division Method

Example: Find lcm of 169 and 25 by Common Division Method

Steps to find lcm of 169 and 25 by Formula

Example: Find lcm of 169 and 25 by Formula

Examples

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