Least Common Multiple of 277/977, 742/815, 653/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 277/977, 742/815, 653/710 quickly i.e. 134213702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 277/977, 742/815, 653/710 is 134213702.

LCM(277/977, 742/815, 653/710) = 134213702

LCM of 277/977, 742/815, 653/710

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 277/977,742/815,653/710

Given numbers are 277/977,742/815,653/710

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 277,742,653

Least Common Multiple of Numerators i.e. LCM of 277,742,653 is 134213702.

GCF of Denominators means GCF of 977,815,710 as per the given fractions.

GCF of 977,815,710 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 277,742,653

LCM of Fractions 277/977,742/815,653/710 is 134213702

Given numbers has no common factors except 1. So, there LCM is their product i.e 134213702

Least Common Multiple of 277,742,653 with GCF Formula

Least Common Multiple of 277,742,653 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 277,742,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,742,653) = 1

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

GCF(277,742,653) x common factors =1 x 1 = 1

LCM(277,742,653) = ( 277 × 742 × 653 ) / 1

LCM(277,742,653) = 134213702 / 1

LCM(277,742,653) = 134213702


Lets's calculate GCF of 977,815,710

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134213702/1

Therefore the LCM of Fractions 277/977,742/815,653/710 is 134213702

Greatest Common Factor of 977,815,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 977,815,710 By Matching Biggest Common Factor Method

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 977,815,710 . The biggest common factor number is the GCF number.
So the greatest common factor 977,815,710 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 277/977, 742/815, 653/710

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 277/977, 742/815, 653/710?

Answer: LCM of Numerators as per given numbers 277/977, 742/815, 653/710 is

LCM of Numerators i.e. for 277,742,653 is 134213702

GCF of denominators i.e. for 977,815,710 is 1.

Thus, LCM of Fractions is 134213702.Finally, LCM of Fractions for 277/977, 742/815, 653/710 is 134213702.