Least Common Multiple of 981, 221, 387, 312

Q: How to Find the LCM of 981, 221, 387, 312 ?

Least Common Multiple of 981, 221, 387, 312 = 74579544 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(981, 221, 387, 312) = 2 x 2 x 2 x 3 x 3 x 13 x 17 x 43 x 109 = 74579544.

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 981, 221, 387, 312 i.e. 74579544 smallest integer divisible by all numbers.

Least common multiple (LCM) of 981, 221, 387, 312 is 74579544.

LCM(981, 221, 387, 312) = 74579544

LCM of 981, 221, 387, 312

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

Least Common Multiple of 981, 221, 387, 312 by common division method
Least Common Multiple of 981, 221, 387, 312 with GCF Formula

Least Common Multiple of 981,221,387,312

Least Common Multiple (LCM) of 981,221,387,312 is 74579544

3	981, 221, 387, 312
3	327, 221, 129, 104
13	109, 221, 43, 104
	109, 17, 43, 8

∴ So the LCM of the given numbers is 3 x 3 x 13 x 109 x 17 x 43 x 8 = 74579544

Least Common Multiple of 981,221,387,312 with GCF Formula

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

We need to calculate greatest common factor of 981,221,387,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,221,387,312) = 1

common factors(in case of two or more numbers have common factors) = 351

GCF(981,221,387,312) x common factors =1 x 351 = 351

LCM(981,221,387,312) = ( 981 × 221 × 387 × 312 ) / 351

LCM(981,221,387,312) = 26177419944 / 351

LCM(981,221,387,312) = 74579544

∴ Least Common Multiple of 981,221,387,312 is 74579544

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 981, 221, 387, 312

1. What is the LCM of 981, 221, 387, 312?

Answer: LCM of 981, 221, 387, 312 is 74579544.

2. What are the Factors of 74579544?

Answer: Factors of 74579544 are . There are integers that are factors of 74579544

3. How to Find the LCM of 981, 221, 387, 312 ?

Least Common Multiple of 981, 221, 387, 312.

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(981, 221, 387, 312) = 2 x 2 x 2 x 3 x 3 x 13 x 17 x 43 x 109 = 74579544.