Least Common Multiple of 135/91, 413/4956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 135/91, 413/4956 quickly i.e. 7965 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 135/91, 413/4956 is 7965.

LCM(135/91, 413/4956) = 7965

LCM of 135/91, 413/4956

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 135/91,413/4956

Given numbers are 135/91,413/4956

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 135,413

Least Common Multiple of Numerators i.e. LCM of 135,413 is 55755.

GCF of Denominators means GCF of 91,4956 as per the given fractions.

GCF of 91,4956 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 135,413

LCM of Fractions 135/91,413/4956 is 7965

Given numbers has no common factors except 1. So, there LCM is their product i.e 55755

Least Common Multiple of 135,413 with GCF Formula

Least Common Multiple of 135,413 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 135,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,413) = 1

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

GCF(135,413) x common factors =1 x 1 = 1

LCM(135,413) = ( 135 × 413 ) / 1

LCM(135,413) = 55755 / 1

LCM(135,413) = 55755


Lets's calculate GCF of 91,4956

7 91, 4956
13, 708

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55755/7

Therefore the LCM of Fractions 135/91,413/4956 is 7965

Greatest Common Factor of 91,4956 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,4956 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 4956

List of positive integer factors of 4956 that divides 4956 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,59,84,118,177,236,354,413,708,826,1239,1652,2478,4956

Greatest Common Factor

We found the factors 91,4956 . The biggest common factor number is the GCF number.
So the greatest common factor 91,4956 is 7.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 135/91, 413/4956

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 135/91, 413/4956?

Answer: LCM of Numerators as per given numbers 135/91, 413/4956 is

LCM of Numerators i.e. for 135,413 is 55755

GCF of denominators i.e. for 91,4956 is 7.

Thus, LCM of Fractions is 7965.Finally, LCM of Fractions for 135/91, 413/4956 is 7965.