Least Common Multiple of 24/398, 6375/9630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/398, 6375/9630 quickly i.e. 25500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/398, 6375/9630 is 25500.

LCM(24/398, 6375/9630) = 25500

LCM of 24/398, 6375/9630

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 24/398,6375/9630

Given numbers are 24/398,6375/9630

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 24,6375

Least Common Multiple of Numerators i.e. LCM of 24,6375 is 51000.

GCF of Denominators means GCF of 398,9630 as per the given fractions.

GCF of 398,9630 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,6375

LCM of Fractions 24/398,6375/9630 is 25500

3 24, 6375
8, 2125

∴ So the LCM of the given numbers is 3 x 8 x 2125 = 51000

Least Common Multiple of 24,6375 with GCF Formula

Least Common Multiple of 24,6375 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 24,6375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,6375) = 3

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

GCF(24,6375) x common factors =3 x 1 = 3

LCM(24,6375) = ( 24 × 6375 ) / 3

LCM(24,6375) = 153000 / 3

LCM(24,6375) = 51000


Lets's calculate GCF of 398,9630

2 398, 9630
199, 4815

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51000/2

Therefore the LCM of Fractions 24/398,6375/9630 is 25500

Greatest Common Factor of 398,9630 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,9630 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 9630

List of positive integer factors of 9630 that divides 9630 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90,107,214,321,535,642,963,1070,1605,1926,3210,4815,9630

Greatest Common Factor

We found the factors 398,9630 . The biggest common factor number is the GCF number.
So the greatest common factor 398,9630 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 24/398, 6375/9630

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 24/398, 6375/9630?

Answer: LCM of Numerators as per given numbers 24/398, 6375/9630 is

LCM of Numerators i.e. for 24,6375 is 51000

GCF of denominators i.e. for 398,9630 is 2.

Thus, LCM of Fractions is 25500.Finally, LCM of Fractions for 24/398, 6375/9630 is 25500.