Least Common Multiple of 57, 336, 112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 57, 336, 112 i.e. 6384 smallest integer divisible by all numbers.

Least common multiple (LCM) of 57, 336, 112 is 6384.

LCM(57, 336, 112) = 6384

LCM of 57, 336, 112

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 57,336,112

Least Common Multiple (LCM) of 57,336,112 is 6384

2 57, 336, 112
2 57, 168, 56
2 57, 84, 28
2 57, 42, 14
3 57, 21, 7
7 19, 7, 7
19, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 x 19 x 1 x 1 = 6384

Least Common Multiple of 57,336,112 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 57,336,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,336,112) = 1

common factors(in case of two or more numbers have common factors) = 336

GCF(57,336,112) x common factors =1 x 336 = 336

LCM(57,336,112) = ( 57 × 336 × 112 ) / 336

LCM(57,336,112) = 2145024 / 336

LCM(57,336,112) = 6384

∴ Least Common Multiple of 57,336,112 is 6384

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 57, 336, 112

1. What is the LCM of 57, 336, 112?

Answer: LCM of 57, 336, 112 is 6384.

2. What are the Factors of 6384?

Answer: Factors of 6384 are . There are integers that are factors of 6384

3. How to Find the LCM of 57, 336, 112 ?

Least Common Multiple of 57, 336, 112.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(57, 336, 112) = 2 x 2 x 2 x 2 x 3 x 7 x 19 = 6384.