Least Common Multiple of 524/110, 238/909, 304/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 524/110, 238/909, 304/424 quickly i.e. 4739056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 524/110, 238/909, 304/424 is 4739056.

LCM(524/110, 238/909, 304/424) = 4739056

LCM of 524/110, 238/909, 304/424

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 524/110,238/909,304/424

Given numbers are 524/110,238/909,304/424

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 524,238,304

Least Common Multiple of Numerators i.e. LCM of 524,238,304 is 4739056.

GCF of Denominators means GCF of 110,909,424 as per the given fractions.

GCF of 110,909,424 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 524,238,304

LCM of Fractions 524/110,238/909,304/424 is 4739056

2 524, 238, 304
2 262, 119, 152
131, 119, 76

∴ So the LCM of the given numbers is 2 x 2 x 131 x 119 x 76 = 4739056

Least Common Multiple of 524,238,304 with GCF Formula

Least Common Multiple of 524,238,304 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 524,238,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,238,304) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(524,238,304) x common factors =2 x 4 = 8

LCM(524,238,304) = ( 524 × 238 × 304 ) / 8

LCM(524,238,304) = 37912448 / 8

LCM(524,238,304) = 4739056


Lets's calculate GCF of 110,909,424

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4739056/1

Therefore the LCM of Fractions 524/110,238/909,304/424 is 4739056

Greatest Common Factor of 110,909,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,909,424 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 110,909,424 . The biggest common factor number is the GCF number.
So the greatest common factor 110,909,424 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 524/110, 238/909, 304/424

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 524/110, 238/909, 304/424?

Answer: LCM of Numerators as per given numbers 524/110, 238/909, 304/424 is

LCM of Numerators i.e. for 524,238,304 is 4739056

GCF of denominators i.e. for 110,909,424 is 1.

Thus, LCM of Fractions is 4739056.Finally, LCM of Fractions for 524/110, 238/909, 304/424 is 4739056.