Least Common Multiple of 277/32, 500/9563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 277/32, 500/9563 quickly i.e. 138500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 277/32, 500/9563 is 138500.

LCM(277/32, 500/9563) = 138500

LCM of 277/32, 500/9563

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 277/32,500/9563

Given numbers are 277/32,500/9563

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 277,500

Least Common Multiple of Numerators i.e. LCM of 277,500 is 138500.

GCF of Denominators means GCF of 32,9563 as per the given fractions.

GCF of 32,9563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 277,500

LCM of Fractions 277/32,500/9563 is 138500

Given numbers has no common factors except 1. So, there LCM is their product i.e 138500

Least Common Multiple of 277,500 with GCF Formula

Least Common Multiple of 277,500 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 277,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,500) = 1

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

GCF(277,500) x common factors =1 x 1 = 1

LCM(277,500) = ( 277 × 500 ) / 1

LCM(277,500) = 138500 / 1

LCM(277,500) = 138500


Lets's calculate GCF of 32,9563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138500/1

Therefore the LCM of Fractions 277/32,500/9563 is 138500

Greatest Common Factor of 32,9563 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,9563 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 9563

List of positive integer factors of 9563 that divides 9563 without a remainder.

1,73,131,9563

Greatest Common Factor

We found the factors 32,9563 . The biggest common factor number is the GCF number.
So the greatest common factor 32,9563 is 1.


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 277/32, 500/9563

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 277/32, 500/9563?

Answer: LCM of Numerators as per given numbers 277/32, 500/9563 is

LCM of Numerators i.e. for 277,500 is 138500

GCF of denominators i.e. for 32,9563 is 1.

Thus, LCM of Fractions is 138500.Finally, LCM of Fractions for 277/32, 500/9563 is 138500.