Least Common Multiple of 72/234, 42/366, 504/467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/234, 42/366, 504/467 quickly i.e. 504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/234, 42/366, 504/467 is 504.

LCM(72/234, 42/366, 504/467) = 504

LCM of 72/234, 42/366, 504/467

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 72/234,42/366,504/467

Given numbers are 72/234,42/366,504/467

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 72,42,504

Least Common Multiple of Numerators i.e. LCM of 72,42,504 is 504.

GCF of Denominators means GCF of 234,366,467 as per the given fractions.

GCF of 234,366,467 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,42,504

LCM of Fractions 72/234,42/366,504/467 is 504

2 72, 42, 504
2 36, 21, 252
2 18, 21, 126
3 9, 21, 63
3 3, 7, 21
7 1, 7, 7
1, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 7 x 1 x 1 x 1 = 504

Least Common Multiple of 72,42,504 with GCF Formula

Least Common Multiple of 72,42,504 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 72,42,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,42,504) = 6

common factors(in case of two or more numbers have common factors) = 504

GCF(72,42,504) x common factors =6 x 504 = 3024

LCM(72,42,504) = ( 72 × 42 × 504 ) / 3024

LCM(72,42,504) = 1524096 / 3024

LCM(72,42,504) = 504


Lets's calculate GCF of 234,366,467

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 504/1

Therefore the LCM of Fractions 72/234,42/366,504/467 is 504

Greatest Common Factor of 234,366,467 By Matching Biggest Common Factor Method

Greatest Common Factor of 234,366,467 By Matching Biggest Common Factor Method

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Greatest Common Factor

We found the factors 234,366,467 . The biggest common factor number is the GCF number.
So the greatest common factor 234,366,467 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 72/234, 42/366, 504/467

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 72/234, 42/366, 504/467?

Answer: LCM of Numerators as per given numbers 72/234, 42/366, 504/467 is

LCM of Numerators i.e. for 72,42,504 is 504

GCF of denominators i.e. for 234,366,467 is 1.

Thus, LCM of Fractions is 504.Finally, LCM of Fractions for 72/234, 42/366, 504/467 is 504.