Least Common Multiple of 79/35, 76/50, 117/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/35, 76/50, 117/185 quickly i.e. 702468/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/35, 76/50, 117/185 is 702468/5.

LCM(79/35, 76/50, 117/185) = 702468/5

LCM of 79/35, 76/50, 117/185

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 79/35,76/50,117/185

Given numbers are 79/35,76/50,117/185

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 79,76,117

Least Common Multiple of Numerators i.e. LCM of 79,76,117 is 702468.

GCF of Denominators means GCF of 35,50,185 as per the given fractions.

GCF of 35,50,185 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,76,117

LCM of Fractions 79/35,76/50,117/185 is 702468/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 702468

Least Common Multiple of 79,76,117 with GCF Formula

Least Common Multiple of 79,76,117 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 79,76,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,76,117) = 1

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

GCF(79,76,117) x common factors =1 x 1 = 1

LCM(79,76,117) = ( 79 × 76 × 117 ) / 1

LCM(79,76,117) = 702468 / 1

LCM(79,76,117) = 702468


Lets's calculate GCF of 35,50,185

5 35, 50, 185
7, 10, 37

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 702468/5

Therefore the LCM of Fractions 79/35,76/50,117/185 is 702468/5

Greatest Common Factor of 35,50,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,50,185 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 35,50,185 . The biggest common factor number is the GCF number.
So the greatest common factor 35,50,185 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 79/35, 76/50, 117/185

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 79/35, 76/50, 117/185?

Answer: LCM of Numerators as per given numbers 79/35, 76/50, 117/185 is

LCM of Numerators i.e. for 79,76,117 is 702468

GCF of denominators i.e. for 35,50,185 is 5.

Thus, LCM of Fractions is 702468/5.Finally, LCM of Fractions for 79/35, 76/50, 117/185 is 702468/5.