Least Common Multiple of 87/901, 792/916, 295/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 87/901, 792/916, 295/137 quickly i.e. 6775560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/901, 792/916, 295/137 is 6775560.

LCM(87/901, 792/916, 295/137) = 6775560

LCM of 87/901, 792/916, 295/137

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 87/901,792/916,295/137

Given numbers are 87/901,792/916,295/137

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 87,792,295

Least Common Multiple of Numerators i.e. LCM of 87,792,295 is 6775560.

GCF of Denominators means GCF of 901,916,137 as per the given fractions.

GCF of 901,916,137 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,792,295

LCM of Fractions 87/901,792/916,295/137 is 6775560

3 87, 792, 295
29, 264, 295

∴ So the LCM of the given numbers is 3 x 29 x 264 x 295 = 6775560

Least Common Multiple of 87,792,295 with GCF Formula

Least Common Multiple of 87,792,295 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 87,792,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,792,295) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,792,295) x common factors =1 x 3 = 3

LCM(87,792,295) = ( 87 × 792 × 295 ) / 3

LCM(87,792,295) = 20326680 / 3

LCM(87,792,295) = 6775560


Lets's calculate GCF of 901,916,137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6775560/1

Therefore the LCM of Fractions 87/901,792/916,295/137 is 6775560

Greatest Common Factor of 901,916,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,916,137 By Matching Biggest Common Factor Method

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors 901,916,137 . The biggest common factor number is the GCF number.
So the greatest common factor 901,916,137 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 87/901, 792/916, 295/137

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 87/901, 792/916, 295/137?

Answer: LCM of Numerators as per given numbers 87/901, 792/916, 295/137 is

LCM of Numerators i.e. for 87,792,295 is 6775560

GCF of denominators i.e. for 901,916,137 is 1.

Thus, LCM of Fractions is 6775560.Finally, LCM of Fractions for 87/901, 792/916, 295/137 is 6775560.