Least Common Multiple of 59/132, 91/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 59/132, 91/736 quickly i.e. 5369/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/132, 91/736 is 5369/4.

LCM(59/132, 91/736) = 5369/4

LCM of 59/132, 91/736

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 59/132,91/736

Given numbers are 59/132,91/736

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 59,91

Least Common Multiple of Numerators i.e. LCM of 59,91 is 5369.

GCF of Denominators means GCF of 132,736 as per the given fractions.

GCF of 132,736 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,91

LCM of Fractions 59/132,91/736 is 5369/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 5369

Least Common Multiple of 59,91 with GCF Formula

Least Common Multiple of 59,91 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 59,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,91) = 1

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

GCF(59,91) x common factors =1 x 1 = 1

LCM(59,91) = ( 59 × 91 ) / 1

LCM(59,91) = 5369 / 1

LCM(59,91) = 5369


Lets's calculate GCF of 132,736

2 132, 736
2 66, 368
33, 184

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5369/4

Therefore the LCM of Fractions 59/132,91/736 is 5369/4

Greatest Common Factor of 132,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,736 By Matching Biggest Common Factor Method

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 132,736 . The biggest common factor number is the GCF number.
So the greatest common factor 132,736 is 4.


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Frequently Asked Questions on Fractional LCM of 59/132, 91/736

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 59/132, 91/736?

Answer: LCM of Numerators as per given numbers 59/132, 91/736 is

LCM of Numerators i.e. for 59,91 is 5369

GCF of denominators i.e. for 132,736 is 4.

Thus, LCM of Fractions is 5369/4.Finally, LCM of Fractions for 59/132, 91/736 is 5369/4.