Least Common Multiple of 66/636, 13/317, 728/633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/636, 13/317, 728/633 quickly i.e. 24024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/636, 13/317, 728/633 is 24024.

LCM(66/636, 13/317, 728/633) = 24024

LCM of 66/636, 13/317, 728/633

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 66/636,13/317,728/633

Given numbers are 66/636,13/317,728/633

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 66,13,728

Least Common Multiple of Numerators i.e. LCM of 66,13,728 is 24024.

GCF of Denominators means GCF of 636,317,633 as per the given fractions.

GCF of 636,317,633 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,13,728

LCM of Fractions 66/636,13/317,728/633 is 24024

2 66, 13, 728
13 33, 13, 364
33, 1, 28

∴ So the LCM of the given numbers is 2 x 13 x 33 x 1 x 28 = 24024

Least Common Multiple of 66,13,728 with GCF Formula

Least Common Multiple of 66,13,728 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 66,13,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,13,728) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(66,13,728) x common factors =1 x 26 = 26

LCM(66,13,728) = ( 66 × 13 × 728 ) / 26

LCM(66,13,728) = 624624 / 26

LCM(66,13,728) = 24024


Lets's calculate GCF of 636,317,633

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24024/1

Therefore the LCM of Fractions 66/636,13/317,728/633 is 24024

Greatest Common Factor of 636,317,633 By Matching Biggest Common Factor Method

Greatest Common Factor of 636,317,633 By Matching Biggest Common Factor Method

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Greatest Common Factor

We found the factors 636,317,633 . The biggest common factor number is the GCF number.
So the greatest common factor 636,317,633 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 66/636, 13/317, 728/633

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 66/636, 13/317, 728/633?

Answer: LCM of Numerators as per given numbers 66/636, 13/317, 728/633 is

LCM of Numerators i.e. for 66,13,728 is 24024

GCF of denominators i.e. for 636,317,633 is 1.

Thus, LCM of Fractions is 24024.Finally, LCM of Fractions for 66/636, 13/317, 728/633 is 24024.