Least Common Multiple of 32, 75, 60, 628

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 32, 75, 60, 628 i.e. 376800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 32, 75, 60, 628 is 376800.

LCM(32, 75, 60, 628) = 376800

LCM of 32, 75, 60, 628

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

LCM of:

Least Common Multiple of 32,75,60,628

Least Common Multiple (LCM) of 32,75,60,628 is 376800

2 32, 75, 60, 628
2 16, 75, 30, 314
3 8, 75, 15, 157
5 8, 25, 5, 157
8, 1, 5, 157

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 8 x 1 x 5 x 157 = 376800

Least Common Multiple of 32,75,60,628 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 32,75,60,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,75,60,628) = 1

common factors(in case of two or more numbers have common factors) = 240

GCF(32,75,60,628) x common factors =1 x 240 = 240

LCM(32,75,60,628) = ( 32 × 75 × 60 × 628 ) / 240

LCM(32,75,60,628) = 90432000 / 240

LCM(32,75,60,628) = 376800

∴ Least Common Multiple of 32,75,60,628 is 376800

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 32, 75, 60, 628

1. What is the LCM of 32, 75, 60, 628?

Answer: LCM of 32, 75, 60, 628 is 376800.

2. What are the Factors of 376800?

Answer: Factors of 376800 are . There are integers that are factors of 376800

3. How to Find the LCM of 32, 75, 60, 628 ?

Least Common Multiple of 32, 75, 60, 628.

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(32, 75, 60, 628) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 157 = 376800.