Least Common Multiple of 572/791, 576/732, 137/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 572/791, 576/732, 137/578 quickly i.e. 11284416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 572/791, 576/732, 137/578 is 11284416.

LCM(572/791, 576/732, 137/578) = 11284416

LCM of 572/791, 576/732, 137/578

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 572/791,576/732,137/578

Given numbers are 572/791,576/732,137/578

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 572,576,137

Least Common Multiple of Numerators i.e. LCM of 572,576,137 is 11284416.

GCF of Denominators means GCF of 791,732,578 as per the given fractions.

GCF of 791,732,578 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 572,576,137

LCM of Fractions 572/791,576/732,137/578 is 11284416

2 572, 576, 137
2 286, 288, 137
143, 144, 137

∴ So the LCM of the given numbers is 2 x 2 x 143 x 144 x 137 = 11284416

Least Common Multiple of 572,576,137 with GCF Formula

Least Common Multiple of 572,576,137 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 572,576,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,576,137) = 1

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

GCF(572,576,137) x common factors =1 x 4 = 4

LCM(572,576,137) = ( 572 × 576 × 137 ) / 4

LCM(572,576,137) = 45137664 / 4

LCM(572,576,137) = 11284416


Lets's calculate GCF of 791,732,578

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11284416/1

Therefore the LCM of Fractions 572/791,576/732,137/578 is 11284416

Greatest Common Factor of 791,732,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 791,732,578 By Matching Biggest Common Factor Method

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 791,732,578 . The biggest common factor number is the GCF number.
So the greatest common factor 791,732,578 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 572/791, 576/732, 137/578

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 572/791, 576/732, 137/578?

Answer: LCM of Numerators as per given numbers 572/791, 576/732, 137/578 is

LCM of Numerators i.e. for 572,576,137 is 11284416

GCF of denominators i.e. for 791,732,578 is 1.

Thus, LCM of Fractions is 11284416.Finally, LCM of Fractions for 572/791, 576/732, 137/578 is 11284416.