Least Common Multiple of 916/654, 957/545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 916/654, 957/545 quickly i.e. 876612/109 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 916/654, 957/545 is 876612/109.

LCM(916/654, 957/545) = 876612/109

LCM of 916/654, 957/545

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 916/654,957/545

Given numbers are 916/654,957/545

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 916,957

Least Common Multiple of Numerators i.e. LCM of 916,957 is 876612.

GCF of Denominators means GCF of 654,545 as per the given fractions.

GCF of 654,545 is 109 as it is the largest common factor for these numbers.

Lets's calculate LCM of 916,957

LCM of Fractions 916/654,957/545 is 876612/109

Given numbers has no common factors except 1. So, there LCM is their product i.e 876612

Least Common Multiple of 916,957 with GCF Formula

Least Common Multiple of 916,957 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 916,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,957) = 1

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

GCF(916,957) x common factors =1 x 1 = 1

LCM(916,957) = ( 916 × 957 ) / 1

LCM(916,957) = 876612 / 1

LCM(916,957) = 876612


Lets's calculate GCF of 654,545

109 654, 545
6, 5

∴ So the GCF of the given numbers is 109 = 109

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 876612/109

Therefore the LCM of Fractions 916/654,957/545 is 876612/109

Greatest Common Factor of 654,545 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,545 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Greatest Common Factor

We found the factors 654,545 . The biggest common factor number is the GCF number.
So the greatest common factor 654,545 is 109.


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 916/654, 957/545

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 916/654, 957/545?

Answer: LCM of Numerators as per given numbers 916/654, 957/545 is

LCM of Numerators i.e. for 916,957 is 876612

GCF of denominators i.e. for 654,545 is 109.

Thus, LCM of Fractions is 876612/109.Finally, LCM of Fractions for 916/654, 957/545 is 876612/109.