Least Common Multiple of 79/90, 56/22, 43/22, 10/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/90, 56/22, 43/22, 10/962 quickly i.e. 475580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/90, 56/22, 43/22, 10/962 is 475580.

LCM(79/90, 56/22, 43/22, 10/962) = 475580

LCM of 79/90, 56/22, 43/22, 10/962

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 79/90,56/22,43/22,10/962

Given numbers are 79/90,56/22,43/22,10/962

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 79,56,43,10

Least Common Multiple of Numerators i.e. LCM of 79,56,43,10 is 951160.

GCF of Denominators means GCF of 90,22,22,962 as per the given fractions.

GCF of 90,22,22,962 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,56,43,10

LCM of Fractions 79/90,56/22,43/22,10/962 is 475580

2 79, 56, 43, 10
79, 28, 43, 5

∴ So the LCM of the given numbers is 2 x 79 x 28 x 43 x 5 = 951160

Least Common Multiple of 79,56,43,10 with GCF Formula

Least Common Multiple of 79,56,43,10 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 79,56,43,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,56,43,10) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(79,56,43,10) x common factors =1 x 2 = 2

LCM(79,56,43,10) = ( 79 × 56 × 43 × 10 ) / 2

LCM(79,56,43,10) = 1902320 / 2

LCM(79,56,43,10) = 951160


Lets's calculate GCF of 90,22,22,962

2 90, 22, 22, 962
45, 11, 11, 481

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 951160/2

Therefore the LCM of Fractions 79/90,56/22,43/22,10/962 is 475580

Greatest Common Factor of 90,22,22,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,22,22,962 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 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 90,22,22,962 . The biggest common factor number is the GCF number.
So the greatest common factor 90,22,22,962 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 79/90, 56/22, 43/22, 10/962

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 79/90, 56/22, 43/22, 10/962?

Answer: LCM of Numerators as per given numbers 79/90, 56/22, 43/22, 10/962 is

LCM of Numerators i.e. for 79,56,43,10 is 951160

GCF of denominators i.e. for 90,22,22,962 is 2.

Thus, LCM of Fractions is 475580.Finally, LCM of Fractions for 79/90, 56/22, 43/22, 10/962 is 475580.