Least Common Multiple of 22/975, 6992/5641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/975, 6992/5641 quickly i.e. 76912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/975, 6992/5641 is 76912.

LCM(22/975, 6992/5641) = 76912

LCM of 22/975, 6992/5641

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 22/975,6992/5641

Given numbers are 22/975,6992/5641

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 22,6992

Least Common Multiple of Numerators i.e. LCM of 22,6992 is 76912.

GCF of Denominators means GCF of 975,5641 as per the given fractions.

GCF of 975,5641 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,6992

LCM of Fractions 22/975,6992/5641 is 76912

2 22, 6992
11, 3496

∴ So the LCM of the given numbers is 2 x 11 x 3496 = 76912

Least Common Multiple of 22,6992 with GCF Formula

Least Common Multiple of 22,6992 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 22,6992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,6992) = 2

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

GCF(22,6992) x common factors =2 x 1 = 2

LCM(22,6992) = ( 22 × 6992 ) / 2

LCM(22,6992) = 153824 / 2

LCM(22,6992) = 76912


Lets's calculate GCF of 975,5641

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76912/1

Therefore the LCM of Fractions 22/975,6992/5641 is 76912

Greatest Common Factor of 975,5641 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,5641 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 5641

List of positive integer factors of 5641 that divides 5641 without a remainder.

1,5641

Greatest Common Factor

We found the factors 975,5641 . The biggest common factor number is the GCF number.
So the greatest common factor 975,5641 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 22/975, 6992/5641

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 22/975, 6992/5641?

Answer: LCM of Numerators as per given numbers 22/975, 6992/5641 is

LCM of Numerators i.e. for 22,6992 is 76912

GCF of denominators i.e. for 975,5641 is 1.

Thus, LCM of Fractions is 76912.Finally, LCM of Fractions for 22/975, 6992/5641 is 76912.