Least Common Multiple of 635/37, 997/45, 777/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 635/37, 997/45, 777/326 quickly i.e. 491914815 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 635/37, 997/45, 777/326 is 491914815.

LCM(635/37, 997/45, 777/326) = 491914815

LCM of 635/37, 997/45, 777/326

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 635/37,997/45,777/326

Given numbers are 635/37,997/45,777/326

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 635,997,777

Least Common Multiple of Numerators i.e. LCM of 635,997,777 is 491914815.

GCF of Denominators means GCF of 37,45,326 as per the given fractions.

GCF of 37,45,326 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 635,997,777

LCM of Fractions 635/37,997/45,777/326 is 491914815

Given numbers has no common factors except 1. So, there LCM is their product i.e 491914815

Least Common Multiple of 635,997,777 with GCF Formula

Least Common Multiple of 635,997,777 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 635,997,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(635,997,777) = 1

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

GCF(635,997,777) x common factors =1 x 1 = 1

LCM(635,997,777) = ( 635 × 997 × 777 ) / 1

LCM(635,997,777) = 491914815 / 1

LCM(635,997,777) = 491914815


Lets's calculate GCF of 37,45,326

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 491914815/1

Therefore the LCM of Fractions 635/37,997/45,777/326 is 491914815

Greatest Common Factor of 37,45,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,45,326 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 45

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

1,3,5,9,15,45

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 37,45,326 . The biggest common factor number is the GCF number.
So the greatest common factor 37,45,326 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 635/37, 997/45, 777/326

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 635/37, 997/45, 777/326?

Answer: LCM of Numerators as per given numbers 635/37, 997/45, 777/326 is

LCM of Numerators i.e. for 635,997,777 is 491914815

GCF of denominators i.e. for 37,45,326 is 1.

Thus, LCM of Fractions is 491914815.Finally, LCM of Fractions for 635/37, 997/45, 777/326 is 491914815.