Least Common Multiple of 38/424, 7562/4640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/424, 7562/4640 quickly i.e. 7562/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/424, 7562/4640 is 7562/8.

LCM(38/424, 7562/4640) = 7562/8

LCM of 38/424, 7562/4640

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 38/424,7562/4640

Given numbers are 38/424,7562/4640

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 38,7562

Least Common Multiple of Numerators i.e. LCM of 38,7562 is 7562.

GCF of Denominators means GCF of 424,4640 as per the given fractions.

GCF of 424,4640 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,7562

LCM of Fractions 38/424,7562/4640 is 7562/8

2 38, 7562
19 19, 3781
1, 199

∴ So the LCM of the given numbers is 2 x 19 x 1 x 199 = 7562

Least Common Multiple of 38,7562 with GCF Formula

Least Common Multiple of 38,7562 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 38,7562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,7562) = 38

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

GCF(38,7562) x common factors =38 x 1 = 38

LCM(38,7562) = ( 38 × 7562 ) / 38

LCM(38,7562) = 287356 / 38

LCM(38,7562) = 7562


Lets's calculate GCF of 424,4640

2 424, 4640
2 212, 2320
2 106, 1160
53, 580

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7562/8

Therefore the LCM of Fractions 38/424,7562/4640 is 7562/8

Greatest Common Factor of 424,4640 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,4640 By Matching Biggest Common Factor Method

Factors of 424

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

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

Factors of 4640

List of positive integer factors of 4640 that divides 4640 without a remainder.

1,2,4,5,8,10,16,20,29,32,40,58,80,116,145,160,232,290,464,580,928,1160,2320,4640

Greatest Common Factor

We found the factors 424,4640 . The biggest common factor number is the GCF number.
So the greatest common factor 424,4640 is 8.


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 38/424, 7562/4640

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 38/424, 7562/4640?

Answer: LCM of Numerators as per given numbers 38/424, 7562/4640 is

LCM of Numerators i.e. for 38,7562 is 7562

GCF of denominators i.e. for 424,4640 is 8.

Thus, LCM of Fractions is 7562/8.Finally, LCM of Fractions for 38/424, 7562/4640 is 7562/8.