Least Common Multiple of 977/27, 264/5840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 977/27, 264/5840 quickly i.e. 257928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 977/27, 264/5840 is 257928.

LCM(977/27, 264/5840) = 257928

LCM of 977/27, 264/5840

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 977/27,264/5840

Given numbers are 977/27,264/5840

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 977,264

Least Common Multiple of Numerators i.e. LCM of 977,264 is 257928.

GCF of Denominators means GCF of 27,5840 as per the given fractions.

GCF of 27,5840 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 977,264

LCM of Fractions 977/27,264/5840 is 257928

Given numbers has no common factors except 1. So, there LCM is their product i.e 257928

Least Common Multiple of 977,264 with GCF Formula

Least Common Multiple of 977,264 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 977,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,264) = 1

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

GCF(977,264) x common factors =1 x 1 = 1

LCM(977,264) = ( 977 × 264 ) / 1

LCM(977,264) = 257928 / 1

LCM(977,264) = 257928


Lets's calculate GCF of 27,5840

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 257928/1

Therefore the LCM of Fractions 977/27,264/5840 is 257928

Greatest Common Factor of 27,5840 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,5840 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 5840

List of positive integer factors of 5840 that divides 5840 without a remainder.

1,2,4,5,8,10,16,20,40,73,80,146,292,365,584,730,1168,1460,2920,5840

Greatest Common Factor

We found the factors 27,5840 . The biggest common factor number is the GCF number.
So the greatest common factor 27,5840 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 977/27, 264/5840

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 977/27, 264/5840?

Answer: LCM of Numerators as per given numbers 977/27, 264/5840 is

LCM of Numerators i.e. for 977,264 is 257928

GCF of denominators i.e. for 27,5840 is 1.

Thus, LCM of Fractions is 257928.Finally, LCM of Fractions for 977/27, 264/5840 is 257928.