Least Common Multiple of 78/537, 29/191, 421/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/537, 29/191, 421/737 quickly i.e. 952302 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/537, 29/191, 421/737 is 952302.

LCM(78/537, 29/191, 421/737) = 952302

LCM of 78/537, 29/191, 421/737

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 78/537,29/191,421/737

Given numbers are 78/537,29/191,421/737

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 78,29,421

Least Common Multiple of Numerators i.e. LCM of 78,29,421 is 952302.

GCF of Denominators means GCF of 537,191,737 as per the given fractions.

GCF of 537,191,737 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,29,421

LCM of Fractions 78/537,29/191,421/737 is 952302

Given numbers has no common factors except 1. So, there LCM is their product i.e 952302

Least Common Multiple of 78,29,421 with GCF Formula

Least Common Multiple of 78,29,421 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 78,29,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,29,421) = 1

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

GCF(78,29,421) x common factors =1 x 1 = 1

LCM(78,29,421) = ( 78 × 29 × 421 ) / 1

LCM(78,29,421) = 952302 / 1

LCM(78,29,421) = 952302


Lets's calculate GCF of 537,191,737

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 952302/1

Therefore the LCM of Fractions 78/537,29/191,421/737 is 952302

Greatest Common Factor of 537,191,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,191,737 By Matching Biggest Common Factor Method

Factors of 537

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

1,3,179,537

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 537,191,737 . The biggest common factor number is the GCF number.
So the greatest common factor 537,191,737 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 78/537, 29/191, 421/737

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 78/537, 29/191, 421/737?

Answer: LCM of Numerators as per given numbers 78/537, 29/191, 421/737 is

LCM of Numerators i.e. for 78,29,421 is 952302

GCF of denominators i.e. for 537,191,737 is 1.

Thus, LCM of Fractions is 952302.Finally, LCM of Fractions for 78/537, 29/191, 421/737 is 952302.