What is the LCM of 48 and 112 - Find out answer step by step

What does LCM mean in mathematics?

The least common multiple or LCM of two numbers 48 and 112 is defined as the smallest positive integer which is divisible by both of them. It is represented by LCM(48, 112).

Properties of LCM

The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 48 and 112 is 336, where 48 and 112 are less than 336.
LCM is associative which means LCM(48, 112) = LCM(112, 48).
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 or more prime numbers is their product.

Steps to find lcm of 48 and 112 by Listing Method

Find some first multiples of 48 and 112.
Find the least common multiple, and read off the answer!

Example: Find lcm of 48 and 112 by Listing Method

Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720, 768, 816, 864, 912, 960, 1008, 1056, 1104, 1152, 1200, 1248, 1296, 1344, 1392, 1440, 1488, 1536, 1584, 1632, 1680, 1728, 1776, 1824, 1872, 1920, 1968, 2016, 2064, 2112, 2160, 2208, 2256, 2304, 2352, 2400, 2448, 2496, 2544, 2592, 2640, 2688, 2736, 2784, 2832, 2880, 2928, 2976, 3024, 3072, 3120, 3168, 3216, 3264, 3312, 3360, 3408, 3456, 3504, 3552, 3600, 3648, 3696, 3744, 3792, 3840, 3888, 3936, 3984, 4032, 4080, 4128, 4176, 4224, 4272, 4320, 4368, 4416, 4464, 4512, 4560, 4608, 4656, 4704, 4752, 4800, 4848, 4896, 4944, 4992, 5040, 5088, 5136, 5184, 5232, 5280, 5328, 5376
Multiples of 112: 112, 224, 336, 448, 560, 672, 784, 896, 1008, 1120, 1232, 1344, 1456, 1568, 1680, 1792, 1904, 2016, 2128, 2240, 2352, 2464, 2576, 2688, 2800, 2912, 3024, 3136, 3248, 3360, 3472, 3584, 3696, 3808, 3920, 4032, 4144, 4256, 4368, 4480, 4592, 4704, 4816, 4928, 5040, 5152, 5264, 5376

Hence, LCM of 48 and 112 is 336.

Steps to find LCM of 48 and 112 by Common Division Method

Find all the prime numbers that would divide 48 and 112 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 48 and 112 by Common Division Method

2	48 112
2	24 56
2	12 28
2	6 14
3	3 7
7	1 7
	1 1

Hence, LCM of 48 and 112 is 2 x 2 x 2 x 2 x 3 x 7 = 336.

Steps to find lcm of 48 and 112 by Formula

The formula for LCM is LCM (48, 112) = (48 x 112) / GCF (48, 112)
Apply the formula, and read off the answer!

Example: Find lcm of 48 and 112 by Formula

GCF of 48 and 112 = 16
LCM of 48 and 112 = (48 x 112) / 16
=> 5376 / 16

Hence, LCM of 48 and 112 is 336.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 48 and 112 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 48 and 112 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 48 and 112.
So, LCM of 48 and 112 is 336.

A shopkeeper sells candies in packet of 48 and chocolates in packet of 112. 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 48 and 112.
So, LCM of 48 and 112 is 336.

Both the cricket team and the rugby team had games, today. The cricket team plays every 48 days and the basketball team plays every 112 days. When will both teams have games on the same day again?

Given that the cricket team plays every 48 days and the basketball team plays every 112 days, so for finding the next time when both teams will play again we need to find the LCM of 48 and 112.
So, LCM of 48 and 112 is 336.

Sammy's company prints 48 textbooks at a time. Daniel's company prints textbooks in sets of 112 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 48 and 112.
So, LCM of 48 and 112 is 336.

Ariel exercises every 48 days and Rubel every 112 days. They both excercised today. How many days will it be until they excercise together again?

The problem can be solved using LCM, because we are trying to figure out the least time until they excercise together again.
So, LCM of 48 and 112 is 336.

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

Greatest common factors or gcf of 48 and 112 is GCF(48, 112) * LCM(48, 112) = (48 x 112) / GCF(48, 112) = 336.

Find the least number which is exactly divisible by 48 and 112.

Least number which is exactly divisible by 48 and 112 is 336.

What is LCM of 48 and 112?

How to find lcm of two numbers

What does LCM mean in mathematics?

Properties of LCM

Steps to find lcm of 48 and 112 by Listing Method

Example: Find lcm of 48 and 112 by Listing Method

Steps to find LCM of 48 and 112 by Common Division Method

Example: Find lcm of 48 and 112 by Common Division Method

Steps to find lcm of 48 and 112 by Formula

Example: Find lcm of 48 and 112 by Formula

Examples

What is LCM of 48 and 112?

How to find lcm of two numbers

What does LCM mean in mathematics?

Properties of LCM

Steps to find lcm of 48 and 112 by Listing Method

Example: Find lcm of 48 and 112 by Listing Method

Steps to find LCM of 48 and 112 by Common Division Method

Example: Find lcm of 48 and 112 by Common Division Method

Steps to find lcm of 48 and 112 by Formula

Example: Find lcm of 48 and 112 by Formula

Examples

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