Least Common Multiple of 27, 74, 99, 676

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 27, 74, 99, 676 i.e. 7428564 smallest integer divisible by all numbers.

Least common multiple (LCM) of 27, 74, 99, 676 is 7428564.

LCM(27, 74, 99, 676) = 7428564

LCM of 27, 74, 99, 676

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

LCM of:

Least Common Multiple of 27,74,99,676

Least Common Multiple (LCM) of 27,74,99,676 is 7428564

2 27, 74, 99, 676
3 27, 37, 99, 338
3 9, 37, 33, 338
3, 37, 11, 338

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 37 x 11 x 338 = 7428564

Least Common Multiple of 27,74,99,676 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 27,74,99,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,74,99,676) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(27,74,99,676) x common factors =1 x 18 = 18

LCM(27,74,99,676) = ( 27 × 74 × 99 × 676 ) / 18

LCM(27,74,99,676) = 133714152 / 18

LCM(27,74,99,676) = 7428564

∴ Least Common Multiple of 27,74,99,676 is 7428564

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 27, 74, 99, 676

1. What is the LCM of 27, 74, 99, 676?

Answer: LCM of 27, 74, 99, 676 is 7428564.

2. What are the Factors of 7428564?

Answer: Factors of 7428564 are . There are integers that are factors of 7428564

3. How to Find the LCM of 27, 74, 99, 676 ?

Least Common Multiple of 27, 74, 99, 676.

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(27, 74, 99, 676) = 2 x 2 x 3 x 3 x 3 x 11 x 13 x 13 x 37 = 7428564.