Least Common Multiple of 427/72, 504/9408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 427/72, 504/9408 quickly i.e. 1281 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 427/72, 504/9408 is 1281.

LCM(427/72, 504/9408) = 1281

LCM of 427/72, 504/9408

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 427/72,504/9408

Given numbers are 427/72,504/9408

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 427,504

Least Common Multiple of Numerators i.e. LCM of 427,504 is 30744.

GCF of Denominators means GCF of 72,9408 as per the given fractions.

GCF of 72,9408 is 24 as it is the largest common factor for these numbers.

Lets's calculate LCM of 427,504

LCM of Fractions 427/72,504/9408 is 1281

7 427, 504
61, 72

∴ So the LCM of the given numbers is 7 x 61 x 72 = 30744

Least Common Multiple of 427,504 with GCF Formula

Least Common Multiple of 427,504 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 427,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,504) = 7

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

GCF(427,504) x common factors =7 x 1 = 7

LCM(427,504) = ( 427 × 504 ) / 7

LCM(427,504) = 215208 / 7

LCM(427,504) = 30744


Lets's calculate GCF of 72,9408

2 72, 9408
2 36, 4704
2 18, 2352
3 9, 1176
3, 392

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30744/24

Therefore the LCM of Fractions 427/72,504/9408 is 1281

Greatest Common Factor of 72,9408 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,9408 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 9408

List of positive integer factors of 9408 that divides 9408 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,64,84,96,98,112,147,168,192,196,224,294,336,392,448,588,672,784,1176,1344,1568,2352,3136,4704,9408

Greatest Common Factor

We found the factors 72,9408 . The biggest common factor number is the GCF number.
So the greatest common factor 72,9408 is 24.


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 427/72, 504/9408

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 427/72, 504/9408?

Answer: LCM of Numerators as per given numbers 427/72, 504/9408 is

LCM of Numerators i.e. for 427,504 is 30744

GCF of denominators i.e. for 72,9408 is 24.

Thus, LCM of Fractions is 1281.Finally, LCM of Fractions for 427/72, 504/9408 is 1281.