Least Common Multiple of 36/138, 63/764, 624/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/138, 63/764, 624/288 quickly i.e. 6552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/138, 63/764, 624/288 is 6552.

LCM(36/138, 63/764, 624/288) = 6552

LCM of 36/138, 63/764, 624/288

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 36/138,63/764,624/288

Given numbers are 36/138,63/764,624/288

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 36,63,624

Least Common Multiple of Numerators i.e. LCM of 36,63,624 is 13104.

GCF of Denominators means GCF of 138,764,288 as per the given fractions.

GCF of 138,764,288 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,63,624

LCM of Fractions 36/138,63/764,624/288 is 6552

2 36, 63, 624
2 18, 63, 312
3 9, 63, 156
3 3, 21, 52
1, 7, 52

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 7 x 52 = 13104

Least Common Multiple of 36,63,624 with GCF Formula

Least Common Multiple of 36,63,624 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 36,63,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,63,624) = 3

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

GCF(36,63,624) x common factors =3 x 36 = 108

LCM(36,63,624) = ( 36 × 63 × 624 ) / 108

LCM(36,63,624) = 1415232 / 108

LCM(36,63,624) = 13104


Lets's calculate GCF of 138,764,288

2 138, 764, 288
69, 382, 144

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13104/2

Therefore the LCM of Fractions 36/138,63/764,624/288 is 6552

Greatest Common Factor of 138,764,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 138,764,288 By Matching Biggest Common Factor Method

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 138,764,288 . The biggest common factor number is the GCF number.
So the greatest common factor 138,764,288 is 2.


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 36/138, 63/764, 624/288

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 36/138, 63/764, 624/288?

Answer: LCM of Numerators as per given numbers 36/138, 63/764, 624/288 is

LCM of Numerators i.e. for 36,63,624 is 13104

GCF of denominators i.e. for 138,764,288 is 2.

Thus, LCM of Fractions is 6552.Finally, LCM of Fractions for 36/138, 63/764, 624/288 is 6552.