Least Common Multiple of 624/860, 441/824, 540/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 624/860, 441/824, 540/537 quickly i.e. 1375920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 624/860, 441/824, 540/537 is 1375920.

LCM(624/860, 441/824, 540/537) = 1375920

LCM of 624/860, 441/824, 540/537

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 624/860,441/824,540/537

Given numbers are 624/860,441/824,540/537

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 624,441,540

Least Common Multiple of Numerators i.e. LCM of 624,441,540 is 1375920.

GCF of Denominators means GCF of 860,824,537 as per the given fractions.

GCF of 860,824,537 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 624,441,540

LCM of Fractions 624/860,441/824,540/537 is 1375920

2 624, 441, 540
2 312, 441, 270
3 156, 441, 135
3 52, 147, 45
52, 49, 15

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 52 x 49 x 15 = 1375920

Least Common Multiple of 624,441,540 with GCF Formula

Least Common Multiple of 624,441,540 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 624,441,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,441,540) = 3

common factors(in case of two or more numbers have common factors) = 36

GCF(624,441,540) x common factors =3 x 36 = 108

LCM(624,441,540) = ( 624 × 441 × 540 ) / 108

LCM(624,441,540) = 148599360 / 108

LCM(624,441,540) = 1375920


Lets's calculate GCF of 860,824,537

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1375920/1

Therefore the LCM of Fractions 624/860,441/824,540/537 is 1375920

Greatest Common Factor of 860,824,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,824,537 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

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 860,824,537 . The biggest common factor number is the GCF number.
So the greatest common factor 860,824,537 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 624/860, 441/824, 540/537

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 624/860, 441/824, 540/537?

Answer: LCM of Numerators as per given numbers 624/860, 441/824, 540/537 is

LCM of Numerators i.e. for 624,441,540 is 1375920

GCF of denominators i.e. for 860,824,537 is 1.

Thus, LCM of Fractions is 1375920.Finally, LCM of Fractions for 624/860, 441/824, 540/537 is 1375920.