Least Common Multiple of 718/131, 8872/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 718/131, 8872/742 quickly i.e. 3185048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 718/131, 8872/742 is 3185048.

LCM(718/131, 8872/742) = 3185048

LCM of 718/131, 8872/742

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 718/131,8872/742

Given numbers are 718/131,8872/742

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 718,8872

Least Common Multiple of Numerators i.e. LCM of 718,8872 is 3185048.

GCF of Denominators means GCF of 131,742 as per the given fractions.

GCF of 131,742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 718,8872

LCM of Fractions 718/131,8872/742 is 3185048

2 718, 8872
359, 4436

∴ So the LCM of the given numbers is 2 x 359 x 4436 = 3185048

Least Common Multiple of 718,8872 with GCF Formula

Least Common Multiple of 718,8872 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 718,8872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(718,8872) = 2

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

GCF(718,8872) x common factors =2 x 1 = 2

LCM(718,8872) = ( 718 × 8872 ) / 2

LCM(718,8872) = 6370096 / 2

LCM(718,8872) = 3185048


Lets's calculate GCF of 131,742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3185048/1

Therefore the LCM of Fractions 718/131,8872/742 is 3185048

Greatest Common Factor of 131,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,742 By Matching Biggest Common Factor Method

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 131,742 . The biggest common factor number is the GCF number.
So the greatest common factor 131,742 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 718/131, 8872/742

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 718/131, 8872/742?

Answer: LCM of Numerators as per given numbers 718/131, 8872/742 is

LCM of Numerators i.e. for 718,8872 is 3185048

GCF of denominators i.e. for 131,742 is 1.

Thus, LCM of Fractions is 3185048.Finally, LCM of Fractions for 718/131, 8872/742 is 3185048.