Least Common Multiple of 996, 4596

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 996, 4596 i.e. 381468 smallest integer divisible by all numbers.

Least common multiple (LCM) of 996, 4596 is 381468.

LCM(996, 4596) = 381468

LCM of 996, 4596

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

LCM of:

Least Common Multiple of 996,4596

Least Common Multiple (LCM) of 996,4596 is 381468

2 996, 4596
2 498, 2298
3 249, 1149
83, 383

∴ So the LCM of the given numbers is 2 x 2 x 3 x 83 x 383 = 381468

Least Common Multiple of 996,4596 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 996,4596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,4596) = 12

common factors(in case of two or more numbers have common factors) = 1

GCF(996,4596) x common factors =12 x 1 = 12

LCM(996,4596) = ( 996 × 4596 ) / 12

LCM(996,4596) = 4577616 / 12

LCM(996,4596) = 381468

∴ Least Common Multiple of 996,4596 is 381468

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 996, 4596

1. What is the LCM of 996, 4596?

Answer: LCM of 996, 4596 is 381468.

2. What are the Factors of 381468?

Answer: Factors of 381468 are . There are integers that are factors of 381468

3. How to Find the LCM of 996, 4596 ?

Least Common Multiple of 996, 4596.

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(996, 4596) = 2 x 2 x 3 x 83 x 383 = 381468.