Least Common Multiple of 77/99, 718/74, 131/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 77/99, 718/74, 131/107 quickly i.e. 7242466 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/99, 718/74, 131/107 is 7242466.

LCM(77/99, 718/74, 131/107) = 7242466

LCM of 77/99, 718/74, 131/107

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 77/99,718/74,131/107

Given numbers are 77/99,718/74,131/107

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 77,718,131

Least Common Multiple of Numerators i.e. LCM of 77,718,131 is 7242466.

GCF of Denominators means GCF of 99,74,107 as per the given fractions.

GCF of 99,74,107 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,718,131

LCM of Fractions 77/99,718/74,131/107 is 7242466

Given numbers has no common factors except 1. So, there LCM is their product i.e 7242466

Least Common Multiple of 77,718,131 with GCF Formula

Least Common Multiple of 77,718,131 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 77,718,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,718,131) = 1

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

GCF(77,718,131) x common factors =1 x 1 = 1

LCM(77,718,131) = ( 77 × 718 × 131 ) / 1

LCM(77,718,131) = 7242466 / 1

LCM(77,718,131) = 7242466


Lets's calculate GCF of 99,74,107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7242466/1

Therefore the LCM of Fractions 77/99,718/74,131/107 is 7242466

Greatest Common Factor of 99,74,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,74,107 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 99,74,107 . The biggest common factor number is the GCF number.
So the greatest common factor 99,74,107 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 77/99, 718/74, 131/107

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 77/99, 718/74, 131/107?

Answer: LCM of Numerators as per given numbers 77/99, 718/74, 131/107 is

LCM of Numerators i.e. for 77,718,131 is 7242466

GCF of denominators i.e. for 99,74,107 is 1.

Thus, LCM of Fractions is 7242466.Finally, LCM of Fractions for 77/99, 718/74, 131/107 is 7242466.