Least Common Multiple of 918/875, 2135/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 918/875, 2135/970 quickly i.e. 391986 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 918/875, 2135/970 is 391986.

LCM(918/875, 2135/970) = 391986

LCM of 918/875, 2135/970

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 918/875,2135/970

Given numbers are 918/875,2135/970

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 918,2135

Least Common Multiple of Numerators i.e. LCM of 918,2135 is 1959930.

GCF of Denominators means GCF of 875,970 as per the given fractions.

GCF of 875,970 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 918,2135

LCM of Fractions 918/875,2135/970 is 391986

Given numbers has no common factors except 1. So, there LCM is their product i.e 1959930

Least Common Multiple of 918,2135 with GCF Formula

Least Common Multiple of 918,2135 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 918,2135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,2135) = 1

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

GCF(918,2135) x common factors =1 x 1 = 1

LCM(918,2135) = ( 918 × 2135 ) / 1

LCM(918,2135) = 1959930 / 1

LCM(918,2135) = 1959930


Lets's calculate GCF of 875,970

5 875, 970
175, 194

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1959930/5

Therefore the LCM of Fractions 918/875,2135/970 is 391986

Greatest Common Factor of 875,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,970 By Matching Biggest Common Factor Method

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 875,970 . The biggest common factor number is the GCF number.
So the greatest common factor 875,970 is 5.


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 918/875, 2135/970

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 918/875, 2135/970?

Answer: LCM of Numerators as per given numbers 918/875, 2135/970 is

LCM of Numerators i.e. for 918,2135 is 1959930

GCF of denominators i.e. for 875,970 is 5.

Thus, LCM of Fractions is 391986.Finally, LCM of Fractions for 918/875, 2135/970 is 391986.