Least Common Multiple of 72/741, 399/860, 642/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/741, 399/860, 642/638 quickly i.e. 1024632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/741, 399/860, 642/638 is 1024632.

LCM(72/741, 399/860, 642/638) = 1024632

LCM of 72/741, 399/860, 642/638

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 72/741,399/860,642/638

Given numbers are 72/741,399/860,642/638

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 72,399,642

Least Common Multiple of Numerators i.e. LCM of 72,399,642 is 1024632.

GCF of Denominators means GCF of 741,860,638 as per the given fractions.

GCF of 741,860,638 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,399,642

LCM of Fractions 72/741,399/860,642/638 is 1024632

2 72, 399, 642
3 36, 399, 321
12, 133, 107

∴ So the LCM of the given numbers is 2 x 3 x 12 x 133 x 107 = 1024632

Least Common Multiple of 72,399,642 with GCF Formula

Least Common Multiple of 72,399,642 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 72,399,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,399,642) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(72,399,642) x common factors =3 x 6 = 18

LCM(72,399,642) = ( 72 × 399 × 642 ) / 18

LCM(72,399,642) = 18443376 / 18

LCM(72,399,642) = 1024632


Lets's calculate GCF of 741,860,638

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1024632/1

Therefore the LCM of Fractions 72/741,399/860,642/638 is 1024632

Greatest Common Factor of 741,860,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,860,638 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

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 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 741,860,638 . The biggest common factor number is the GCF number.
So the greatest common factor 741,860,638 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 72/741, 399/860, 642/638

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 72/741, 399/860, 642/638?

Answer: LCM of Numerators as per given numbers 72/741, 399/860, 642/638 is

LCM of Numerators i.e. for 72,399,642 is 1024632

GCF of denominators i.e. for 741,860,638 is 1.

Thus, LCM of Fractions is 1024632.Finally, LCM of Fractions for 72/741, 399/860, 642/638 is 1024632.