Least Common Multiple of 36/648, 75/643, 564/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/648, 75/643, 564/652 quickly i.e. 42300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/648, 75/643, 564/652 is 42300.

LCM(36/648, 75/643, 564/652) = 42300

LCM of 36/648, 75/643, 564/652

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 36/648,75/643,564/652

Given numbers are 36/648,75/643,564/652

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 36,75,564

Least Common Multiple of Numerators i.e. LCM of 36,75,564 is 42300.

GCF of Denominators means GCF of 648,643,652 as per the given fractions.

GCF of 648,643,652 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,75,564

LCM of Fractions 36/648,75/643,564/652 is 42300

2 36, 75, 564
2 18, 75, 282
3 9, 75, 141
3, 25, 47

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 25 x 47 = 42300

Least Common Multiple of 36,75,564 with GCF Formula

Least Common Multiple of 36,75,564 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 36,75,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,75,564) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(36,75,564) x common factors =3 x 12 = 36

LCM(36,75,564) = ( 36 × 75 × 564 ) / 36

LCM(36,75,564) = 1522800 / 36

LCM(36,75,564) = 42300


Lets's calculate GCF of 648,643,652

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42300/1

Therefore the LCM of Fractions 36/648,75/643,564/652 is 42300

Greatest Common Factor of 648,643,652 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,643,652 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Greatest Common Factor

We found the factors 648,643,652 . The biggest common factor number is the GCF number.
So the greatest common factor 648,643,652 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 36/648, 75/643, 564/652

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 36/648, 75/643, 564/652?

Answer: LCM of Numerators as per given numbers 36/648, 75/643, 564/652 is

LCM of Numerators i.e. for 36,75,564 is 42300

GCF of denominators i.e. for 648,643,652 is 1.

Thus, LCM of Fractions is 42300.Finally, LCM of Fractions for 36/648, 75/643, 564/652 is 42300.