Least Common Multiple of 87, 37, 74, 420

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, 37, 74, 420 i.e. 450660 smallest integer divisible by all numbers.

Least common multiple (LCM) of 87, 37, 74, 420 is 450660.

LCM(87, 37, 74, 420) = 450660

LCM of 87, 37, 74, 420

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

LCM of:

Least Common Multiple of 87,37,74,420

Least Common Multiple (LCM) of 87,37,74,420 is 450660

2 87, 37, 74, 420
3 87, 37, 37, 210
37 29, 37, 37, 70
29, 1, 1, 70

∴ So the LCM of the given numbers is 2 x 3 x 37 x 29 x 1 x 1 x 70 = 450660

Least Common Multiple of 87,37,74,420 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 87,37,74,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,37,74,420) = 1

common factors(in case of two or more numbers have common factors) = 222

GCF(87,37,74,420) x common factors =1 x 222 = 222

LCM(87,37,74,420) = ( 87 × 37 × 74 × 420 ) / 222

LCM(87,37,74,420) = 100046520 / 222

LCM(87,37,74,420) = 450660

∴ Least Common Multiple of 87,37,74,420 is 450660

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 87, 37, 74, 420

1. What is the LCM of 87, 37, 74, 420?

Answer: LCM of 87, 37, 74, 420 is 450660.

2. What are the Factors of 450660?

Answer: Factors of 450660 are . There are integers that are factors of 450660

3. How to Find the LCM of 87, 37, 74, 420 ?

Least Common Multiple of 87, 37, 74, 420.

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, 37, 74, 420) = 2 x 2 x 3 x 5 x 7 x 29 x 37 = 450660.