Least Common Multiple of 87, 20, 492, 427

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 87, 20, 492, 427 i.e. 30462180 smallest integer divisible by all numbers.

Least common multiple (LCM) of 87, 20, 492, 427 is 30462180.

LCM(87, 20, 492, 427) = 30462180

LCM of 87, 20, 492, 427

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

LCM of:

Least Common Multiple of 87,20,492,427

Least Common Multiple (LCM) of 87,20,492,427 is 30462180

2 87, 20, 492, 427
2 87, 10, 246, 427
3 87, 5, 123, 427
29, 5, 41, 427

∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 5 x 41 x 427 = 30462180

Least Common Multiple of 87,20,492,427 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 87,20,492,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,20,492,427) = 1

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

GCF(87,20,492,427) x common factors =1 x 12 = 12

LCM(87,20,492,427) = ( 87 × 20 × 492 × 427 ) / 12

LCM(87,20,492,427) = 365546160 / 12

LCM(87,20,492,427) = 30462180

∴ Least Common Multiple of 87,20,492,427 is 30462180

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 87, 20, 492, 427

1. What is the LCM of 87, 20, 492, 427?

Answer: LCM of 87, 20, 492, 427 is 30462180.

2. What are the Factors of 30462180?

Answer: Factors of 30462180 are . There are integers that are factors of 30462180

3. How to Find the LCM of 87, 20, 492, 427 ?

Least Common Multiple of 87, 20, 492, 427.

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(87, 20, 492, 427) = 2 x 2 x 3 x 5 x 7 x 29 x 41 x 61 = 30462180.