Least Common Multiple of 87/79, 40/536, 391/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 87/79, 40/536, 391/943 quickly i.e. 1360680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/79, 40/536, 391/943 is 1360680.

LCM(87/79, 40/536, 391/943) = 1360680

LCM of 87/79, 40/536, 391/943

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 87/79,40/536,391/943

Given numbers are 87/79,40/536,391/943

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 87,40,391

Least Common Multiple of Numerators i.e. LCM of 87,40,391 is 1360680.

GCF of Denominators means GCF of 79,536,943 as per the given fractions.

GCF of 79,536,943 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,40,391

LCM of Fractions 87/79,40/536,391/943 is 1360680

Given numbers has no common factors except 1. So, there LCM is their product i.e 1360680

Least Common Multiple of 87,40,391 with GCF Formula

Least Common Multiple of 87,40,391 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 87,40,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,40,391) = 1

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

GCF(87,40,391) x common factors =1 x 1 = 1

LCM(87,40,391) = ( 87 × 40 × 391 ) / 1

LCM(87,40,391) = 1360680 / 1

LCM(87,40,391) = 1360680


Lets's calculate GCF of 79,536,943

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1360680/1

Therefore the LCM of Fractions 87/79,40/536,391/943 is 1360680

Greatest Common Factor of 79,536,943 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,536,943 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Greatest Common Factor

We found the factors 79,536,943 . The biggest common factor number is the GCF number.
So the greatest common factor 79,536,943 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 87/79, 40/536, 391/943

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 87/79, 40/536, 391/943?

Answer: LCM of Numerators as per given numbers 87/79, 40/536, 391/943 is

LCM of Numerators i.e. for 87,40,391 is 1360680

GCF of denominators i.e. for 79,536,943 is 1.

Thus, LCM of Fractions is 1360680.Finally, LCM of Fractions for 87/79, 40/536, 391/943 is 1360680.