Least Common Multiple of 971/60, 826/8916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 971/60, 826/8916 quickly i.e. 802046/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 971/60, 826/8916 is 802046/12.

LCM(971/60, 826/8916) = 802046/12

LCM of 971/60, 826/8916

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 971/60,826/8916

Given numbers are 971/60,826/8916

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 971,826

Least Common Multiple of Numerators i.e. LCM of 971,826 is 802046.

GCF of Denominators means GCF of 60,8916 as per the given fractions.

GCF of 60,8916 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 971,826

LCM of Fractions 971/60,826/8916 is 802046/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 802046

Least Common Multiple of 971,826 with GCF Formula

Least Common Multiple of 971,826 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 971,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,826) = 1

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

GCF(971,826) x common factors =1 x 1 = 1

LCM(971,826) = ( 971 × 826 ) / 1

LCM(971,826) = 802046 / 1

LCM(971,826) = 802046


Lets's calculate GCF of 60,8916

2 60, 8916
2 30, 4458
3 15, 2229
5, 743

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 802046/12

Therefore the LCM of Fractions 971/60,826/8916 is 802046/12

Greatest Common Factor of 60,8916 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,8916 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 8916

List of positive integer factors of 8916 that divides 8916 without a remainder.

1,2,3,4,6,12,743,1486,2229,2972,4458,8916

Greatest Common Factor

We found the factors 60,8916 . The biggest common factor number is the GCF number.
So the greatest common factor 60,8916 is 12.


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 971/60, 826/8916

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 971/60, 826/8916?

Answer: LCM of Numerators as per given numbers 971/60, 826/8916 is

LCM of Numerators i.e. for 971,826 is 802046

GCF of denominators i.e. for 60,8916 is 12.

Thus, LCM of Fractions is 802046/12.Finally, LCM of Fractions for 971/60, 826/8916 is 802046/12.