Least Common Multiple of 89, 21, 92, 270

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 89, 21, 92, 270 i.e. 7737660 smallest integer divisible by all numbers.

Least common multiple (LCM) of 89, 21, 92, 270 is 7737660.

LCM(89, 21, 92, 270) = 7737660

LCM of 89, 21, 92, 270

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

LCM of:

Least Common Multiple of 89,21,92,270

Least Common Multiple (LCM) of 89,21,92,270 is 7737660

2 89, 21, 92, 270
3 89, 21, 46, 135
89, 7, 46, 45

∴ So the LCM of the given numbers is 2 x 3 x 89 x 7 x 46 x 45 = 7737660

Least Common Multiple of 89,21,92,270 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 89,21,92,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,21,92,270) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(89,21,92,270) x common factors =1 x 6 = 6

LCM(89,21,92,270) = ( 89 × 21 × 92 × 270 ) / 6

LCM(89,21,92,270) = 46425960 / 6

LCM(89,21,92,270) = 7737660

∴ Least Common Multiple of 89,21,92,270 is 7737660

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 89, 21, 92, 270

1. What is the LCM of 89, 21, 92, 270?

Answer: LCM of 89, 21, 92, 270 is 7737660.

2. What are the Factors of 7737660?

Answer: Factors of 7737660 are . There are integers that are factors of 7737660

3. How to Find the LCM of 89, 21, 92, 270 ?

Least Common Multiple of 89, 21, 92, 270.

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(89, 21, 92, 270) = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 23 x 89 = 7737660.