Least Common Multiple of 537/76, 405/35, 722/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 537/76, 405/35, 722/832 quickly i.e. 52341390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 537/76, 405/35, 722/832 is 52341390.

LCM(537/76, 405/35, 722/832) = 52341390

LCM of 537/76, 405/35, 722/832

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 537/76,405/35,722/832

Given numbers are 537/76,405/35,722/832

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 537,405,722

Least Common Multiple of Numerators i.e. LCM of 537,405,722 is 52341390.

GCF of Denominators means GCF of 76,35,832 as per the given fractions.

GCF of 76,35,832 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 537,405,722

LCM of Fractions 537/76,405/35,722/832 is 52341390

3 537, 405, 722
179, 135, 722

∴ So the LCM of the given numbers is 3 x 179 x 135 x 722 = 52341390

Least Common Multiple of 537,405,722 with GCF Formula

Least Common Multiple of 537,405,722 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 537,405,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,405,722) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(537,405,722) x common factors =1 x 3 = 3

LCM(537,405,722) = ( 537 × 405 × 722 ) / 3

LCM(537,405,722) = 157024170 / 3

LCM(537,405,722) = 52341390


Lets's calculate GCF of 76,35,832

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52341390/1

Therefore the LCM of Fractions 537/76,405/35,722/832 is 52341390

Greatest Common Factor of 76,35,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,35,832 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 76,35,832 . The biggest common factor number is the GCF number.
So the greatest common factor 76,35,832 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 537/76, 405/35, 722/832

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 537/76, 405/35, 722/832?

Answer: LCM of Numerators as per given numbers 537/76, 405/35, 722/832 is

LCM of Numerators i.e. for 537,405,722 is 52341390

GCF of denominators i.e. for 76,35,832 is 1.

Thus, LCM of Fractions is 52341390.Finally, LCM of Fractions for 537/76, 405/35, 722/832 is 52341390.