Least Common Multiple of 539/604, 9278/7224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 539/604, 9278/7224 quickly i.e. 5000842/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 539/604, 9278/7224 is 5000842/4.

LCM(539/604, 9278/7224) = 5000842/4

LCM of 539/604, 9278/7224

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 539/604,9278/7224

Given numbers are 539/604,9278/7224

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 539,9278

Least Common Multiple of Numerators i.e. LCM of 539,9278 is 5000842.

GCF of Denominators means GCF of 604,7224 as per the given fractions.

GCF of 604,7224 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 539,9278

LCM of Fractions 539/604,9278/7224 is 5000842/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 5000842

Least Common Multiple of 539,9278 with GCF Formula

Least Common Multiple of 539,9278 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 539,9278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(539,9278) = 1

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

GCF(539,9278) x common factors =1 x 1 = 1

LCM(539,9278) = ( 539 × 9278 ) / 1

LCM(539,9278) = 5000842 / 1

LCM(539,9278) = 5000842


Lets's calculate GCF of 604,7224

2 604, 7224
2 302, 3612
151, 1806

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5000842/4

Therefore the LCM of Fractions 539/604,9278/7224 is 5000842/4

Greatest Common Factor of 604,7224 By Matching Biggest Common Factor Method

Greatest Common Factor of 604,7224 By Matching Biggest Common Factor Method

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 7224

List of positive integer factors of 7224 that divides 7224 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,43,56,84,86,129,168,172,258,301,344,516,602,903,1032,1204,1806,2408,3612,7224

Greatest Common Factor

We found the factors 604,7224 . The biggest common factor number is the GCF number.
So the greatest common factor 604,7224 is 4.


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 539/604, 9278/7224

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 539/604, 9278/7224?

Answer: LCM of Numerators as per given numbers 539/604, 9278/7224 is

LCM of Numerators i.e. for 539,9278 is 5000842

GCF of denominators i.e. for 604,7224 is 4.

Thus, LCM of Fractions is 5000842/4.Finally, LCM of Fractions for 539/604, 9278/7224 is 5000842/4.