Least Common Multiple of 48, 996, 564

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 48, 996, 564 i.e. 187248 smallest integer divisible by all numbers.

Least common multiple (LCM) of 48, 996, 564 is 187248.

LCM(48, 996, 564) = 187248

LCM of 48, 996, 564

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

LCM of:

Least Common Multiple of 48,996,564

Least Common Multiple (LCM) of 48,996,564 is 187248

2 48, 996, 564
2 24, 498, 282
3 12, 249, 141
4, 83, 47

∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 83 x 47 = 187248

Least Common Multiple of 48,996,564 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 48,996,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,996,564) = 12

common factors(in case of two or more numbers have common factors) = 12

GCF(48,996,564) x common factors =12 x 12 = 144

LCM(48,996,564) = ( 48 × 996 × 564 ) / 144

LCM(48,996,564) = 26963712 / 144

LCM(48,996,564) = 187248

∴ Least Common Multiple of 48,996,564 is 187248

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 48, 996, 564

1. What is the LCM of 48, 996, 564?

Answer: LCM of 48, 996, 564 is 187248.

2. What are the Factors of 187248?

Answer: Factors of 187248 are . There are integers that are factors of 187248

3. How to Find the LCM of 48, 996, 564 ?

Least Common Multiple of 48, 996, 564.

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(48, 996, 564) = 2 x 2 x 2 x 2 x 3 x 47 x 83 = 187248.