Least Common Multiple of 975/171, 868/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 975/171, 868/757 quickly i.e. 846300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 975/171, 868/757 is 846300.

LCM(975/171, 868/757) = 846300

LCM of 975/171, 868/757

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 975/171,868/757

Given numbers are 975/171,868/757

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 975,868

Least Common Multiple of Numerators i.e. LCM of 975,868 is 846300.

GCF of Denominators means GCF of 171,757 as per the given fractions.

GCF of 171,757 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 975,868

LCM of Fractions 975/171,868/757 is 846300

Given numbers has no common factors except 1. So, there LCM is their product i.e 846300

Least Common Multiple of 975,868 with GCF Formula

Least Common Multiple of 975,868 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 975,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,868) = 1

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

GCF(975,868) x common factors =1 x 1 = 1

LCM(975,868) = ( 975 × 868 ) / 1

LCM(975,868) = 846300 / 1

LCM(975,868) = 846300


Lets's calculate GCF of 171,757

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 846300/1

Therefore the LCM of Fractions 975/171,868/757 is 846300

Greatest Common Factor of 171,757 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,757 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Greatest Common Factor

We found the factors 171,757 . The biggest common factor number is the GCF number.
So the greatest common factor 171,757 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 975/171, 868/757

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 975/171, 868/757?

Answer: LCM of Numerators as per given numbers 975/171, 868/757 is

LCM of Numerators i.e. for 975,868 is 846300

GCF of denominators i.e. for 171,757 is 1.

Thus, LCM of Fractions is 846300.Finally, LCM of Fractions for 975/171, 868/757 is 846300.