Least Common Multiple of 72/337, 974/393, 364/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/337, 974/393, 364/537 quickly i.e. 3190824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/337, 974/393, 364/537 is 3190824.

LCM(72/337, 974/393, 364/537) = 3190824

LCM of 72/337, 974/393, 364/537

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 72/337,974/393,364/537

Given numbers are 72/337,974/393,364/537

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 72,974,364

Least Common Multiple of Numerators i.e. LCM of 72,974,364 is 3190824.

GCF of Denominators means GCF of 337,393,537 as per the given fractions.

GCF of 337,393,537 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,974,364

LCM of Fractions 72/337,974/393,364/537 is 3190824

2 72, 974, 364
2 36, 487, 182
18, 487, 91

∴ So the LCM of the given numbers is 2 x 2 x 18 x 487 x 91 = 3190824

Least Common Multiple of 72,974,364 with GCF Formula

Least Common Multiple of 72,974,364 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 72,974,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,974,364) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(72,974,364) x common factors =2 x 4 = 8

LCM(72,974,364) = ( 72 × 974 × 364 ) / 8

LCM(72,974,364) = 25526592 / 8

LCM(72,974,364) = 3190824


Lets's calculate GCF of 337,393,537

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3190824/1

Therefore the LCM of Fractions 72/337,974/393,364/537 is 3190824

Greatest Common Factor of 337,393,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 337,393,537 By Matching Biggest Common Factor Method

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 337,393,537 . The biggest common factor number is the GCF number.
So the greatest common factor 337,393,537 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 72/337, 974/393, 364/537

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 72/337, 974/393, 364/537?

Answer: LCM of Numerators as per given numbers 72/337, 974/393, 364/537 is

LCM of Numerators i.e. for 72,974,364 is 3190824

GCF of denominators i.e. for 337,393,537 is 1.

Thus, LCM of Fractions is 3190824.Finally, LCM of Fractions for 72/337, 974/393, 364/537 is 3190824.