Least Common Multiple of 846, 376, 456

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 846, 376, 456 i.e. 64296 smallest integer divisible by all numbers.

Least common multiple (LCM) of 846, 376, 456 is 64296.

LCM(846, 376, 456) = 64296

LCM of 846, 376, 456

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

LCM of:

Least Common Multiple of 846,376,456

Least Common Multiple (LCM) of 846,376,456 is 64296

2 846, 376, 456
2 423, 188, 228
2 423, 94, 114
3 423, 47, 57
47 141, 47, 19
3, 1, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 47 x 3 x 1 x 19 = 64296

Least Common Multiple of 846,376,456 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 846,376,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,376,456) = 2

common factors(in case of two or more numbers have common factors) = 1128

GCF(846,376,456) x common factors =2 x 1128 = 2256

LCM(846,376,456) = ( 846 × 376 × 456 ) / 2256

LCM(846,376,456) = 145051776 / 2256

LCM(846,376,456) = 64296

∴ Least Common Multiple of 846,376,456 is 64296

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 846, 376, 456

1. What is the LCM of 846, 376, 456?

Answer: LCM of 846, 376, 456 is 64296.

2. What are the Factors of 64296?

Answer: Factors of 64296 are . There are integers that are factors of 64296

3. How to Find the LCM of 846, 376, 456 ?

Least Common Multiple of 846, 376, 456.

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(846, 376, 456) = 2 x 2 x 2 x 3 x 3 x 19 x 47 = 64296.