Least Common Multiple of 35/331, 738/500, 821/397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/331, 738/500, 821/397 quickly i.e. 21206430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/331, 738/500, 821/397 is 21206430.

LCM(35/331, 738/500, 821/397) = 21206430

LCM of 35/331, 738/500, 821/397

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 35/331,738/500,821/397

Given numbers are 35/331,738/500,821/397

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 35,738,821

Least Common Multiple of Numerators i.e. LCM of 35,738,821 is 21206430.

GCF of Denominators means GCF of 331,500,397 as per the given fractions.

GCF of 331,500,397 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,738,821

LCM of Fractions 35/331,738/500,821/397 is 21206430

Given numbers has no common factors except 1. So, there LCM is their product i.e 21206430

Least Common Multiple of 35,738,821 with GCF Formula

Least Common Multiple of 35,738,821 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 35,738,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,738,821) = 1

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

GCF(35,738,821) x common factors =1 x 1 = 1

LCM(35,738,821) = ( 35 × 738 × 821 ) / 1

LCM(35,738,821) = 21206430 / 1

LCM(35,738,821) = 21206430


Lets's calculate GCF of 331,500,397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21206430/1

Therefore the LCM of Fractions 35/331,738/500,821/397 is 21206430

Greatest Common Factor of 331,500,397 By Matching Biggest Common Factor Method

Greatest Common Factor of 331,500,397 By Matching Biggest Common Factor Method

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Greatest Common Factor

We found the factors 331,500,397 . The biggest common factor number is the GCF number.
So the greatest common factor 331,500,397 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 35/331, 738/500, 821/397

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 35/331, 738/500, 821/397?

Answer: LCM of Numerators as per given numbers 35/331, 738/500, 821/397 is

LCM of Numerators i.e. for 35,738,821 is 21206430

GCF of denominators i.e. for 331,500,397 is 1.

Thus, LCM of Fractions is 21206430.Finally, LCM of Fractions for 35/331, 738/500, 821/397 is 21206430.