Least Common Multiple of 135/79, 878/13, 392/73

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 135/79, 878/13, 392/73 quickly i.e. 23231880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 135/79, 878/13, 392/73 is 23231880.

LCM(135/79, 878/13, 392/73) = 23231880

LCM of 135/79, 878/13, 392/73

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 135/79,878/13,392/73

Given numbers are 135/79,878/13,392/73

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 135,878,392

Least Common Multiple of Numerators i.e. LCM of 135,878,392 is 23231880.

GCF of Denominators means GCF of 79,13,73 as per the given fractions.

GCF of 79,13,73 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 135,878,392

LCM of Fractions 135/79,878/13,392/73 is 23231880

2 135, 878, 392
135, 439, 196

∴ So the LCM of the given numbers is 2 x 135 x 439 x 196 = 23231880

Least Common Multiple of 135,878,392 with GCF Formula

Least Common Multiple of 135,878,392 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 135,878,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,878,392) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(135,878,392) x common factors =1 x 2 = 2

LCM(135,878,392) = ( 135 × 878 × 392 ) / 2

LCM(135,878,392) = 46463760 / 2

LCM(135,878,392) = 23231880


Lets's calculate GCF of 79,13,73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23231880/1

Therefore the LCM of Fractions 135/79,878/13,392/73 is 23231880

Greatest Common Factor of 79,13,73 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,13,73 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 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Greatest Common Factor

We found the factors 79,13,73 . The biggest common factor number is the GCF number.
So the greatest common factor 79,13,73 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 135/79, 878/13, 392/73

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 135/79, 878/13, 392/73?

Answer: LCM of Numerators as per given numbers 135/79, 878/13, 392/73 is

LCM of Numerators i.e. for 135,878,392 is 23231880

GCF of denominators i.e. for 79,13,73 is 1.

Thus, LCM of Fractions is 23231880.Finally, LCM of Fractions for 135/79, 878/13, 392/73 is 23231880.