Least Common Multiple of 87, 39, 975

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, 39, 975 i.e. 28275 smallest integer divisible by all numbers.

Least common multiple (LCM) of 87, 39, 975 is 28275.

LCM(87, 39, 975) = 28275

LCM of 87, 39, 975

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

LCM of:

Least Common Multiple of 87,39,975

Least Common Multiple (LCM) of 87,39,975 is 28275

3 87, 39, 975
13 29, 13, 325
29, 1, 25

∴ So the LCM of the given numbers is 3 x 13 x 29 x 1 x 25 = 28275

Least Common Multiple of 87,39,975 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 87,39,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,39,975) = 3

common factors(in case of two or more numbers have common factors) = 39

GCF(87,39,975) x common factors =3 x 39 = 117

LCM(87,39,975) = ( 87 × 39 × 975 ) / 117

LCM(87,39,975) = 3308175 / 117

LCM(87,39,975) = 28275

∴ Least Common Multiple of 87,39,975 is 28275

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 87, 39, 975

1. What is the LCM of 87, 39, 975?

Answer: LCM of 87, 39, 975 is 28275.

2. What are the Factors of 28275?

Answer: Factors of 28275 are . There are integers that are factors of 28275

3. How to Find the LCM of 87, 39, 975 ?

Least Common Multiple of 87, 39, 975.

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, 39, 975) = 3 x 5 x 5 x 13 x 29 = 28275.