Least Common Multiple of 2400/802, 4244/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2400/802, 4244/494 quickly i.e. 1273200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2400/802, 4244/494 is 1273200.

LCM(2400/802, 4244/494) = 1273200

LCM of 2400/802, 4244/494

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 2400/802,4244/494

Given numbers are 2400/802,4244/494

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 2400,4244

Least Common Multiple of Numerators i.e. LCM of 2400,4244 is 2546400.

GCF of Denominators means GCF of 802,494 as per the given fractions.

GCF of 802,494 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2400,4244

LCM of Fractions 2400/802,4244/494 is 1273200

2 2400, 4244
2 1200, 2122
600, 1061

∴ So the LCM of the given numbers is 2 x 2 x 600 x 1061 = 2546400

Least Common Multiple of 2400,4244 with GCF Formula

Least Common Multiple of 2400,4244 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 2400,4244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2400,4244) = 4

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

GCF(2400,4244) x common factors =4 x 1 = 4

LCM(2400,4244) = ( 2400 × 4244 ) / 4

LCM(2400,4244) = 10185600 / 4

LCM(2400,4244) = 2546400


Lets's calculate GCF of 802,494

2 802, 494
401, 247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2546400/2

Therefore the LCM of Fractions 2400/802,4244/494 is 1273200

Greatest Common Factor of 802,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 802,494 By Matching Biggest Common Factor Method

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 802,494 . The biggest common factor number is the GCF number.
So the greatest common factor 802,494 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 2400/802, 4244/494

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 2400/802, 4244/494?

Answer: LCM of Numerators as per given numbers 2400/802, 4244/494 is

LCM of Numerators i.e. for 2400,4244 is 2546400

GCF of denominators i.e. for 802,494 is 2.

Thus, LCM of Fractions is 1273200.Finally, LCM of Fractions for 2400/802, 4244/494 is 1273200.