Least Common Multiple of 277/110, 457/793, 961/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 277/110, 457/793, 961/644 quickly i.e. 121652029 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 277/110, 457/793, 961/644 is 121652029.

LCM(277/110, 457/793, 961/644) = 121652029

LCM of 277/110, 457/793, 961/644

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 277/110,457/793,961/644

Given numbers are 277/110,457/793,961/644

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 277,457,961

Least Common Multiple of Numerators i.e. LCM of 277,457,961 is 121652029.

GCF of Denominators means GCF of 110,793,644 as per the given fractions.

GCF of 110,793,644 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 277,457,961

LCM of Fractions 277/110,457/793,961/644 is 121652029

Given numbers has no common factors except 1. So, there LCM is their product i.e 121652029

Least Common Multiple of 277,457,961 with GCF Formula

Least Common Multiple of 277,457,961 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 277,457,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,457,961) = 1

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

GCF(277,457,961) x common factors =1 x 1 = 1

LCM(277,457,961) = ( 277 × 457 × 961 ) / 1

LCM(277,457,961) = 121652029 / 1

LCM(277,457,961) = 121652029


Lets's calculate GCF of 110,793,644

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121652029/1

Therefore the LCM of Fractions 277/110,457/793,961/644 is 121652029

Greatest Common Factor of 110,793,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,793,644 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 110,793,644 . The biggest common factor number is the GCF number.
So the greatest common factor 110,793,644 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 277/110, 457/793, 961/644

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 277/110, 457/793, 961/644?

Answer: LCM of Numerators as per given numbers 277/110, 457/793, 961/644 is

LCM of Numerators i.e. for 277,457,961 is 121652029

GCF of denominators i.e. for 110,793,644 is 1.

Thus, LCM of Fractions is 121652029.Finally, LCM of Fractions for 277/110, 457/793, 961/644 is 121652029.