Least Common Multiple of 8722/916, 8565/650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8722/916, 8565/650 quickly i.e. 37351965 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8722/916, 8565/650 is 37351965.

LCM(8722/916, 8565/650) = 37351965

LCM of 8722/916, 8565/650

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 8722/916,8565/650

Given numbers are 8722/916,8565/650

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 8722,8565

Least Common Multiple of Numerators i.e. LCM of 8722,8565 is 74703930.

GCF of Denominators means GCF of 916,650 as per the given fractions.

GCF of 916,650 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8722,8565

LCM of Fractions 8722/916,8565/650 is 37351965

Given numbers has no common factors except 1. So, there LCM is their product i.e 74703930

Least Common Multiple of 8722,8565 with GCF Formula

Least Common Multiple of 8722,8565 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 8722,8565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8722,8565) = 1

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

GCF(8722,8565) x common factors =1 x 1 = 1

LCM(8722,8565) = ( 8722 × 8565 ) / 1

LCM(8722,8565) = 74703930 / 1

LCM(8722,8565) = 74703930


Lets's calculate GCF of 916,650

2 916, 650
458, 325

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74703930/2

Therefore the LCM of Fractions 8722/916,8565/650 is 37351965

Greatest Common Factor of 916,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 916,650 By Matching Biggest Common Factor Method

Factors of 916

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

1,2,4,229,458,916

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 916,650 . The biggest common factor number is the GCF number.
So the greatest common factor 916,650 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 8722/916, 8565/650

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 8722/916, 8565/650?

Answer: LCM of Numerators as per given numbers 8722/916, 8565/650 is

LCM of Numerators i.e. for 8722,8565 is 74703930

GCF of denominators i.e. for 916,650 is 2.

Thus, LCM of Fractions is 37351965.Finally, LCM of Fractions for 8722/916, 8565/650 is 37351965.