Least Common Multiple of 472/42, 144/8579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 472/42, 144/8579 quickly i.e. 8496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 472/42, 144/8579 is 8496.

LCM(472/42, 144/8579) = 8496

LCM of 472/42, 144/8579

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 472/42,144/8579

Given numbers are 472/42,144/8579

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 472,144

Least Common Multiple of Numerators i.e. LCM of 472,144 is 8496.

GCF of Denominators means GCF of 42,8579 as per the given fractions.

GCF of 42,8579 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 472,144

LCM of Fractions 472/42,144/8579 is 8496

2 472, 144
2 236, 72
2 118, 36
59, 18

∴ So the LCM of the given numbers is 2 x 2 x 2 x 59 x 18 = 8496

Least Common Multiple of 472,144 with GCF Formula

Least Common Multiple of 472,144 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 472,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,144) = 8

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

GCF(472,144) x common factors =8 x 1 = 8

LCM(472,144) = ( 472 × 144 ) / 8

LCM(472,144) = 67968 / 8

LCM(472,144) = 8496


Lets's calculate GCF of 42,8579

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8496/1

Therefore the LCM of Fractions 472/42,144/8579 is 8496

Greatest Common Factor of 42,8579 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,8579 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 8579

List of positive integer factors of 8579 that divides 8579 without a remainder.

1,23,373,8579

Greatest Common Factor

We found the factors 42,8579 . The biggest common factor number is the GCF number.
So the greatest common factor 42,8579 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 472/42, 144/8579

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 472/42, 144/8579?

Answer: LCM of Numerators as per given numbers 472/42, 144/8579 is

LCM of Numerators i.e. for 472,144 is 8496

GCF of denominators i.e. for 42,8579 is 1.

Thus, LCM of Fractions is 8496.Finally, LCM of Fractions for 472/42, 144/8579 is 8496.