Least Common Multiple of 254/400, 483/723, 603/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 254/400, 483/723, 603/426 quickly i.e. 24659082 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 254/400, 483/723, 603/426 is 24659082.

LCM(254/400, 483/723, 603/426) = 24659082

LCM of 254/400, 483/723, 603/426

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 254/400,483/723,603/426

Given numbers are 254/400,483/723,603/426

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 254,483,603

Least Common Multiple of Numerators i.e. LCM of 254,483,603 is 24659082.

GCF of Denominators means GCF of 400,723,426 as per the given fractions.

GCF of 400,723,426 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 254,483,603

LCM of Fractions 254/400,483/723,603/426 is 24659082

3 254, 483, 603
254, 161, 201

∴ So the LCM of the given numbers is 3 x 254 x 161 x 201 = 24659082

Least Common Multiple of 254,483,603 with GCF Formula

Least Common Multiple of 254,483,603 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 254,483,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,483,603) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(254,483,603) x common factors =1 x 3 = 3

LCM(254,483,603) = ( 254 × 483 × 603 ) / 3

LCM(254,483,603) = 73977246 / 3

LCM(254,483,603) = 24659082


Lets's calculate GCF of 400,723,426

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24659082/1

Therefore the LCM of Fractions 254/400,483/723,603/426 is 24659082

Greatest Common Factor of 400,723,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,723,426 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 400,723,426 . The biggest common factor number is the GCF number.
So the greatest common factor 400,723,426 is 1.


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 254/400, 483/723, 603/426

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 254/400, 483/723, 603/426?

Answer: LCM of Numerators as per given numbers 254/400, 483/723, 603/426 is

LCM of Numerators i.e. for 254,483,603 is 24659082

GCF of denominators i.e. for 400,723,426 is 1.

Thus, LCM of Fractions is 24659082.Finally, LCM of Fractions for 254/400, 483/723, 603/426 is 24659082.