Least Common Multiple of 656/975, 211/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 656/975, 211/598 quickly i.e. 138416/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 656/975, 211/598 is 138416/13.

LCM(656/975, 211/598) = 138416/13

LCM of 656/975, 211/598

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 656/975,211/598

Given numbers are 656/975,211/598

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 656,211

Least Common Multiple of Numerators i.e. LCM of 656,211 is 138416.

GCF of Denominators means GCF of 975,598 as per the given fractions.

GCF of 975,598 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 656,211

LCM of Fractions 656/975,211/598 is 138416/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 138416

Least Common Multiple of 656,211 with GCF Formula

Least Common Multiple of 656,211 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 656,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,211) = 1

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

GCF(656,211) x common factors =1 x 1 = 1

LCM(656,211) = ( 656 × 211 ) / 1

LCM(656,211) = 138416 / 1

LCM(656,211) = 138416


Lets's calculate GCF of 975,598

13 975, 598
75, 46

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138416/13

Therefore the LCM of Fractions 656/975,211/598 is 138416/13

Greatest Common Factor of 975,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,598 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 975,598 . The biggest common factor number is the GCF number.
So the greatest common factor 975,598 is 13.


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 656/975, 211/598

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 656/975, 211/598?

Answer: LCM of Numerators as per given numbers 656/975, 211/598 is

LCM of Numerators i.e. for 656,211 is 138416

GCF of denominators i.e. for 975,598 is 13.

Thus, LCM of Fractions is 138416/13.Finally, LCM of Fractions for 656/975, 211/598 is 138416/13.