Least Common Multiple of 638/171, 654/644, 642/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 638/171, 654/644, 642/737 quickly i.e. 22322982 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 638/171, 654/644, 642/737 is 22322982.

LCM(638/171, 654/644, 642/737) = 22322982

LCM of 638/171, 654/644, 642/737

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 638/171,654/644,642/737

Given numbers are 638/171,654/644,642/737

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 638,654,642

Least Common Multiple of Numerators i.e. LCM of 638,654,642 is 22322982.

GCF of Denominators means GCF of 171,644,737 as per the given fractions.

GCF of 171,644,737 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 638,654,642

LCM of Fractions 638/171,654/644,642/737 is 22322982

2 638, 654, 642
3 319, 327, 321
319, 109, 107

∴ So the LCM of the given numbers is 2 x 3 x 319 x 109 x 107 = 22322982

Least Common Multiple of 638,654,642 with GCF Formula

Least Common Multiple of 638,654,642 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 638,654,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,654,642) = 2

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

GCF(638,654,642) x common factors =2 x 6 = 12

LCM(638,654,642) = ( 638 × 654 × 642 ) / 12

LCM(638,654,642) = 267875784 / 12

LCM(638,654,642) = 22322982


Lets's calculate GCF of 171,644,737

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22322982/1

Therefore the LCM of Fractions 638/171,654/644,642/737 is 22322982

Greatest Common Factor of 171,644,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,644,737 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

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 171,644,737 . The biggest common factor number is the GCF number.
So the greatest common factor 171,644,737 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 638/171, 654/644, 642/737

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 638/171, 654/644, 642/737?

Answer: LCM of Numerators as per given numbers 638/171, 654/644, 642/737 is

LCM of Numerators i.e. for 638,654,642 is 22322982

GCF of denominators i.e. for 171,644,737 is 1.

Thus, LCM of Fractions is 22322982.Finally, LCM of Fractions for 638/171, 654/644, 642/737 is 22322982.