Least Common Multiple of 87, 32, 58, 424

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, 32, 58, 424 i.e. 147552 smallest integer divisible by all numbers.

Least common multiple (LCM) of 87, 32, 58, 424 is 147552.

LCM(87, 32, 58, 424) = 147552

LCM of 87, 32, 58, 424

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

LCM of:

Least Common Multiple of 87,32,58,424

Least Common Multiple (LCM) of 87,32,58,424 is 147552

2 87, 32, 58, 424
2 87, 16, 29, 212
2 87, 8, 29, 106
29 87, 4, 29, 53
3, 4, 1, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 3 x 4 x 1 x 53 = 147552

Least Common Multiple of 87,32,58,424 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 87,32,58,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,32,58,424) = 1

common factors(in case of two or more numbers have common factors) = 464

GCF(87,32,58,424) x common factors =1 x 464 = 464

LCM(87,32,58,424) = ( 87 × 32 × 58 × 424 ) / 464

LCM(87,32,58,424) = 68464128 / 464

LCM(87,32,58,424) = 147552

∴ Least Common Multiple of 87,32,58,424 is 147552

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 87, 32, 58, 424

1. What is the LCM of 87, 32, 58, 424?

Answer: LCM of 87, 32, 58, 424 is 147552.

2. What are the Factors of 147552?

Answer: Factors of 147552 are . There are integers that are factors of 147552

3. How to Find the LCM of 87, 32, 58, 424 ?

Least Common Multiple of 87, 32, 58, 424.

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, 32, 58, 424) = 2 x 2 x 2 x 2 x 2 x 3 x 29 x 53 = 147552.