Least Common Multiple of 79/965, 90/955, 270/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/965, 90/955, 270/134 quickly i.e. 21330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/965, 90/955, 270/134 is 21330.

LCM(79/965, 90/955, 270/134) = 21330

LCM of 79/965, 90/955, 270/134

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 79/965,90/955,270/134

Given numbers are 79/965,90/955,270/134

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 79,90,270

Least Common Multiple of Numerators i.e. LCM of 79,90,270 is 21330.

GCF of Denominators means GCF of 965,955,134 as per the given fractions.

GCF of 965,955,134 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,90,270

LCM of Fractions 79/965,90/955,270/134 is 21330

2 79, 90, 270
3 79, 45, 135
3 79, 15, 45
5 79, 5, 15
79, 1, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 79 x 1 x 3 = 21330

Least Common Multiple of 79,90,270 with GCF Formula

Least Common Multiple of 79,90,270 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 79,90,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,90,270) = 1

common factors(in case of two or more numbers have common factors) = 90

GCF(79,90,270) x common factors =1 x 90 = 90

LCM(79,90,270) = ( 79 × 90 × 270 ) / 90

LCM(79,90,270) = 1919700 / 90

LCM(79,90,270) = 21330


Lets's calculate GCF of 965,955,134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21330/1

Therefore the LCM of Fractions 79/965,90/955,270/134 is 21330

Greatest Common Factor of 965,955,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 965,955,134 By Matching Biggest Common Factor Method

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 965,955,134 . The biggest common factor number is the GCF number.
So the greatest common factor 965,955,134 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 79/965, 90/955, 270/134

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 79/965, 90/955, 270/134?

Answer: LCM of Numerators as per given numbers 79/965, 90/955, 270/134 is

LCM of Numerators i.e. for 79,90,270 is 21330

GCF of denominators i.e. for 965,955,134 is 1.

Thus, LCM of Fractions is 21330.Finally, LCM of Fractions for 79/965, 90/955, 270/134 is 21330.