Least Common Multiple of 87/90, 982/27, 875/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/90, 982/27, 875/952 quickly i.e. 74754750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/90, 982/27, 875/952 is 74754750.

LCM(87/90, 982/27, 875/952) = 74754750

LCM of 87/90, 982/27, 875/952

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 87/90,982/27,875/952

Given numbers are 87/90,982/27,875/952

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 87,982,875

Least Common Multiple of Numerators i.e. LCM of 87,982,875 is 74754750.

GCF of Denominators means GCF of 90,27,952 as per the given fractions.

GCF of 90,27,952 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,982,875

LCM of Fractions 87/90,982/27,875/952 is 74754750

Given numbers has no common factors except 1. So, there LCM is their product i.e 74754750

Least Common Multiple of 87,982,875 with GCF Formula

Least Common Multiple of 87,982,875 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 87,982,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,982,875) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(87,982,875) x common factors =1 x 1 = 1

LCM(87,982,875) = ( 87 × 982 × 875 ) / 1

LCM(87,982,875) = 74754750 / 1

LCM(87,982,875) = 74754750


Lets's calculate GCF of 90,27,952

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74754750/1

Therefore the LCM of Fractions 87/90,982/27,875/952 is 74754750

Greatest Common Factor of 90,27,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,27,952 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 90,27,952 . The biggest common factor number is the GCF number.
So the greatest common factor 90,27,952 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 87/90, 982/27, 875/952

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 87/90, 982/27, 875/952?

Answer: LCM of Numerators as per given numbers 87/90, 982/27, 875/952 is

LCM of Numerators i.e. for 87,982,875 is 74754750

GCF of denominators i.e. for 90,27,952 is 1.

Thus, LCM of Fractions is 74754750.Finally, LCM of Fractions for 87/90, 982/27, 875/952 is 74754750.