Least Common Multiple of 931/820, 1141/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 931/820, 1141/956 quickly i.e. 151753/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 931/820, 1141/956 is 151753/4.

LCM(931/820, 1141/956) = 151753/4

LCM of 931/820, 1141/956

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 931/820,1141/956

Given numbers are 931/820,1141/956

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 931,1141

Least Common Multiple of Numerators i.e. LCM of 931,1141 is 151753.

GCF of Denominators means GCF of 820,956 as per the given fractions.

GCF of 820,956 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 931,1141

LCM of Fractions 931/820,1141/956 is 151753/4

7 931, 1141
133, 163

∴ So the LCM of the given numbers is 7 x 133 x 163 = 151753

Least Common Multiple of 931,1141 with GCF Formula

Least Common Multiple of 931,1141 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 931,1141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,1141) = 7

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

GCF(931,1141) x common factors =7 x 1 = 7

LCM(931,1141) = ( 931 × 1141 ) / 7

LCM(931,1141) = 1062271 / 7

LCM(931,1141) = 151753


Lets's calculate GCF of 820,956

2 820, 956
2 410, 478
205, 239

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151753/4

Therefore the LCM of Fractions 931/820,1141/956 is 151753/4

Greatest Common Factor of 820,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,956 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 956

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

1,2,4,239,478,956

Greatest Common Factor

We found the factors 820,956 . The biggest common factor number is the GCF number.
So the greatest common factor 820,956 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 931/820, 1141/956

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 931/820, 1141/956?

Answer: LCM of Numerators as per given numbers 931/820, 1141/956 is

LCM of Numerators i.e. for 931,1141 is 151753

GCF of denominators i.e. for 820,956 is 4.

Thus, LCM of Fractions is 151753/4.Finally, LCM of Fractions for 931/820, 1141/956 is 151753/4.