Least Common Multiple of 747/238, 5424/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 747/238, 5424/312 quickly i.e. 675288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 747/238, 5424/312 is 675288.

LCM(747/238, 5424/312) = 675288

LCM of 747/238, 5424/312

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 747/238,5424/312

Given numbers are 747/238,5424/312

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 747,5424

Least Common Multiple of Numerators i.e. LCM of 747,5424 is 1350576.

GCF of Denominators means GCF of 238,312 as per the given fractions.

GCF of 238,312 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 747,5424

LCM of Fractions 747/238,5424/312 is 675288

3 747, 5424
249, 1808

∴ So the LCM of the given numbers is 3 x 249 x 1808 = 1350576

Least Common Multiple of 747,5424 with GCF Formula

Least Common Multiple of 747,5424 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 747,5424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,5424) = 3

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

GCF(747,5424) x common factors =3 x 1 = 3

LCM(747,5424) = ( 747 × 5424 ) / 3

LCM(747,5424) = 4051728 / 3

LCM(747,5424) = 1350576


Lets's calculate GCF of 238,312

2 238, 312
119, 156

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1350576/2

Therefore the LCM of Fractions 747/238,5424/312 is 675288

Greatest Common Factor of 238,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,312 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 238,312 . The biggest common factor number is the GCF number.
So the greatest common factor 238,312 is 2.


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 747/238, 5424/312

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 747/238, 5424/312?

Answer: LCM of Numerators as per given numbers 747/238, 5424/312 is

LCM of Numerators i.e. for 747,5424 is 1350576

GCF of denominators i.e. for 238,312 is 2.

Thus, LCM of Fractions is 675288.Finally, LCM of Fractions for 747/238, 5424/312 is 675288.