Least Common Multiple of 122/956, 5154/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 122/956, 5154/690 quickly i.e. 157197 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 122/956, 5154/690 is 157197.

LCM(122/956, 5154/690) = 157197

LCM of 122/956, 5154/690

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 122/956,5154/690

Given numbers are 122/956,5154/690

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 122,5154

Least Common Multiple of Numerators i.e. LCM of 122,5154 is 314394.

GCF of Denominators means GCF of 956,690 as per the given fractions.

GCF of 956,690 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 122,5154

LCM of Fractions 122/956,5154/690 is 157197

2 122, 5154
61, 2577

∴ So the LCM of the given numbers is 2 x 61 x 2577 = 314394

Least Common Multiple of 122,5154 with GCF Formula

Least Common Multiple of 122,5154 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 122,5154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(122,5154) = 2

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

GCF(122,5154) x common factors =2 x 1 = 2

LCM(122,5154) = ( 122 × 5154 ) / 2

LCM(122,5154) = 628788 / 2

LCM(122,5154) = 314394


Lets's calculate GCF of 956,690

2 956, 690
478, 345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 314394/2

Therefore the LCM of Fractions 122/956,5154/690 is 157197

Greatest Common Factor of 956,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 956,690 By Matching Biggest Common Factor Method

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 956,690 . The biggest common factor number is the GCF number.
So the greatest common factor 956,690 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 122/956, 5154/690

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 122/956, 5154/690?

Answer: LCM of Numerators as per given numbers 122/956, 5154/690 is

LCM of Numerators i.e. for 122,5154 is 314394

GCF of denominators i.e. for 956,690 is 2.

Thus, LCM of Fractions is 157197.Finally, LCM of Fractions for 122/956, 5154/690 is 157197.