Least Common Multiple of 2400/26, 7608/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2400/26, 7608/898 quickly i.e. 380400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2400/26, 7608/898 is 380400.

LCM(2400/26, 7608/898) = 380400

LCM of 2400/26, 7608/898

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 2400/26,7608/898

Given numbers are 2400/26,7608/898

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 2400,7608

Least Common Multiple of Numerators i.e. LCM of 2400,7608 is 760800.

GCF of Denominators means GCF of 26,898 as per the given fractions.

GCF of 26,898 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2400,7608

LCM of Fractions 2400/26,7608/898 is 380400

2 2400, 7608
2 1200, 3804
2 600, 1902
3 300, 951
100, 317

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 100 x 317 = 760800

Least Common Multiple of 2400,7608 with GCF Formula

Least Common Multiple of 2400,7608 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 2400,7608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2400,7608) = 24

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

GCF(2400,7608) x common factors =24 x 1 = 24

LCM(2400,7608) = ( 2400 × 7608 ) / 24

LCM(2400,7608) = 18259200 / 24

LCM(2400,7608) = 760800


Lets's calculate GCF of 26,898

2 26, 898
13, 449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 760800/2

Therefore the LCM of Fractions 2400/26,7608/898 is 380400

Greatest Common Factor of 26,898 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,898 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Greatest Common Factor

We found the factors 26,898 . The biggest common factor number is the GCF number.
So the greatest common factor 26,898 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 2400/26, 7608/898

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 2400/26, 7608/898?

Answer: LCM of Numerators as per given numbers 2400/26, 7608/898 is

LCM of Numerators i.e. for 2400,7608 is 760800

GCF of denominators i.e. for 26,898 is 2.

Thus, LCM of Fractions is 380400.Finally, LCM of Fractions for 2400/26, 7608/898 is 380400.