Least Common Multiple of 917/16, 972/8337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 917/16, 972/8337 quickly i.e. 891324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 917/16, 972/8337 is 891324.

LCM(917/16, 972/8337) = 891324

LCM of 917/16, 972/8337

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 917/16,972/8337

Given numbers are 917/16,972/8337

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 917,972

Least Common Multiple of Numerators i.e. LCM of 917,972 is 891324.

GCF of Denominators means GCF of 16,8337 as per the given fractions.

GCF of 16,8337 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 917,972

LCM of Fractions 917/16,972/8337 is 891324

Given numbers has no common factors except 1. So, there LCM is their product i.e 891324

Least Common Multiple of 917,972 with GCF Formula

Least Common Multiple of 917,972 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 917,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(917,972) = 1

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

GCF(917,972) x common factors =1 x 1 = 1

LCM(917,972) = ( 917 × 972 ) / 1

LCM(917,972) = 891324 / 1

LCM(917,972) = 891324


Lets's calculate GCF of 16,8337

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 891324/1

Therefore the LCM of Fractions 917/16,972/8337 is 891324

Greatest Common Factor of 16,8337 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,8337 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 8337

List of positive integer factors of 8337 that divides 8337 without a remainder.

1,3,7,21,397,1191,2779,8337

Greatest Common Factor

We found the factors 16,8337 . The biggest common factor number is the GCF number.
So the greatest common factor 16,8337 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 917/16, 972/8337

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 917/16, 972/8337?

Answer: LCM of Numerators as per given numbers 917/16, 972/8337 is

LCM of Numerators i.e. for 917,972 is 891324

GCF of denominators i.e. for 16,8337 is 1.

Thus, LCM of Fractions is 891324.Finally, LCM of Fractions for 917/16, 972/8337 is 891324.