Least Common Multiple of 637/31, 670/45, 649/877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 637/31, 670/45, 649/877 quickly i.e. 276986710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 637/31, 670/45, 649/877 is 276986710.

LCM(637/31, 670/45, 649/877) = 276986710

LCM of 637/31, 670/45, 649/877

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 637/31,670/45,649/877

Given numbers are 637/31,670/45,649/877

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 637,670,649

Least Common Multiple of Numerators i.e. LCM of 637,670,649 is 276986710.

GCF of Denominators means GCF of 31,45,877 as per the given fractions.

GCF of 31,45,877 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 637,670,649

LCM of Fractions 637/31,670/45,649/877 is 276986710

Given numbers has no common factors except 1. So, there LCM is their product i.e 276986710

Least Common Multiple of 637,670,649 with GCF Formula

Least Common Multiple of 637,670,649 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 637,670,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(637,670,649) = 1

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

GCF(637,670,649) x common factors =1 x 1 = 1

LCM(637,670,649) = ( 637 × 670 × 649 ) / 1

LCM(637,670,649) = 276986710 / 1

LCM(637,670,649) = 276986710


Lets's calculate GCF of 31,45,877

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 276986710/1

Therefore the LCM of Fractions 637/31,670/45,649/877 is 276986710

Greatest Common Factor of 31,45,877 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,45,877 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Greatest Common Factor

We found the factors 31,45,877 . The biggest common factor number is the GCF number.
So the greatest common factor 31,45,877 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 637/31, 670/45, 649/877

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 637/31, 670/45, 649/877?

Answer: LCM of Numerators as per given numbers 637/31, 670/45, 649/877 is

LCM of Numerators i.e. for 637,670,649 is 276986710

GCF of denominators i.e. for 31,45,877 is 1.

Thus, LCM of Fractions is 276986710.Finally, LCM of Fractions for 637/31, 670/45, 649/877 is 276986710.