Least Common Multiple of 956/32, 674/71, 846/80

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 956/32, 674/71, 846/80 quickly i.e. 136278756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 956/32, 674/71, 846/80 is 136278756.

LCM(956/32, 674/71, 846/80) = 136278756

LCM of 956/32, 674/71, 846/80

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 956/32,674/71,846/80

Given numbers are 956/32,674/71,846/80

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 956,674,846

Least Common Multiple of Numerators i.e. LCM of 956,674,846 is 136278756.

GCF of Denominators means GCF of 32,71,80 as per the given fractions.

GCF of 32,71,80 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 956,674,846

LCM of Fractions 956/32,674/71,846/80 is 136278756

2 956, 674, 846
478, 337, 423

∴ So the LCM of the given numbers is 2 x 478 x 337 x 423 = 136278756

Least Common Multiple of 956,674,846 with GCF Formula

Least Common Multiple of 956,674,846 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 956,674,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,674,846) = 2

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

GCF(956,674,846) x common factors =2 x 2 = 4

LCM(956,674,846) = ( 956 × 674 × 846 ) / 4

LCM(956,674,846) = 545115024 / 4

LCM(956,674,846) = 136278756


Lets's calculate GCF of 32,71,80

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136278756/1

Therefore the LCM of Fractions 956/32,674/71,846/80 is 136278756

Greatest Common Factor of 32,71,80 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,71,80 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Greatest Common Factor

We found the factors 32,71,80 . The biggest common factor number is the GCF number.
So the greatest common factor 32,71,80 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 956/32, 674/71, 846/80

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 956/32, 674/71, 846/80?

Answer: LCM of Numerators as per given numbers 956/32, 674/71, 846/80 is

LCM of Numerators i.e. for 956,674,846 is 136278756

GCF of denominators i.e. for 32,71,80 is 1.

Thus, LCM of Fractions is 136278756.Finally, LCM of Fractions for 956/32, 674/71, 846/80 is 136278756.