Least Common Multiple of 7/92, 4/64, 5/36, 11/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7/92, 4/64, 5/36, 11/131 quickly i.e. 1540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/92, 4/64, 5/36, 11/131 is 1540.

LCM(7/92, 4/64, 5/36, 11/131) = 1540

LCM of 7/92, 4/64, 5/36, 11/131

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 7/92,4/64,5/36,11/131

Given numbers are 7/92,4/64,5/36,11/131

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 7,4,5,11

Least Common Multiple of Numerators i.e. LCM of 7,4,5,11 is 1540.

GCF of Denominators means GCF of 92,64,36,131 as per the given fractions.

GCF of 92,64,36,131 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,4,5,11

LCM of Fractions 7/92,4/64,5/36,11/131 is 1540

Given numbers has no common factors except 1. So, there LCM is their product i.e 1540

Least Common Multiple of 7,4,5,11 with GCF Formula

Least Common Multiple of 7,4,5,11 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 7,4,5,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,4,5,11) = 1

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

GCF(7,4,5,11) x common factors =1 x 1 = 1

LCM(7,4,5,11) = ( 7 × 4 × 5 × 11 ) / 1

LCM(7,4,5,11) = 1540 / 1

LCM(7,4,5,11) = 1540


Lets's calculate GCF of 92,64,36,131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1540/1

Therefore the LCM of Fractions 7/92,4/64,5/36,11/131 is 1540

Greatest Common Factor of 92,64,36,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,64,36,131 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors 92,64,36,131 . The biggest common factor number is the GCF number.
So the greatest common factor 92,64,36,131 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7/92, 4/64, 5/36, 11/131

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 7/92, 4/64, 5/36, 11/131?

Answer: LCM of Numerators as per given numbers 7/92, 4/64, 5/36, 11/131 is

LCM of Numerators i.e. for 7,4,5,11 is 1540

GCF of denominators i.e. for 92,64,36,131 is 1.

Thus, LCM of Fractions is 1540.Finally, LCM of Fractions for 7/92, 4/64, 5/36, 11/131 is 1540.