Least Common Multiple of 504/78, 144/2628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 504/78, 144/2628 quickly i.e. 168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 504/78, 144/2628 is 168.

LCM(504/78, 144/2628) = 168

LCM of 504/78, 144/2628

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 504/78,144/2628

Given numbers are 504/78,144/2628

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 504,144

Least Common Multiple of Numerators i.e. LCM of 504,144 is 1008.

GCF of Denominators means GCF of 78,2628 as per the given fractions.

GCF of 78,2628 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 504,144

LCM of Fractions 504/78,144/2628 is 168

2 504, 144
2 252, 72
2 126, 36
3 63, 18
3 21, 6
7, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 7 x 2 = 1008

Least Common Multiple of 504,144 with GCF Formula

Least Common Multiple of 504,144 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 504,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,144) = 72

common factors(in case of two or more numbers have common factors) = 1

GCF(504,144) x common factors =72 x 1 = 72

LCM(504,144) = ( 504 × 144 ) / 72

LCM(504,144) = 72576 / 72

LCM(504,144) = 1008


Lets's calculate GCF of 78,2628

2 78, 2628
3 39, 1314
13, 438

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1008/6

Therefore the LCM of Fractions 504/78,144/2628 is 168

Greatest Common Factor of 78,2628 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,2628 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 2628

List of positive integer factors of 2628 that divides 2628 without a remainder.

1,2,3,4,6,9,12,18,36,73,146,219,292,438,657,876,1314,2628

Greatest Common Factor

We found the factors 78,2628 . The biggest common factor number is the GCF number.
So the greatest common factor 78,2628 is 6.


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 504/78, 144/2628

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 504/78, 144/2628?

Answer: LCM of Numerators as per given numbers 504/78, 144/2628 is

LCM of Numerators i.e. for 504,144 is 1008

GCF of denominators i.e. for 78,2628 is 6.

Thus, LCM of Fractions is 168.Finally, LCM of Fractions for 504/78, 144/2628 is 168.