Least Common Multiple of 263/578, 744/966, 324/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 263/578, 744/966, 324/746 quickly i.e. 2641572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 263/578, 744/966, 324/746 is 2641572.

LCM(263/578, 744/966, 324/746) = 2641572

LCM of 263/578, 744/966, 324/746

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 263/578,744/966,324/746

Given numbers are 263/578,744/966,324/746

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 263,744,324

Least Common Multiple of Numerators i.e. LCM of 263,744,324 is 5283144.

GCF of Denominators means GCF of 578,966,746 as per the given fractions.

GCF of 578,966,746 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 263,744,324

LCM of Fractions 263/578,744/966,324/746 is 2641572

2 263, 744, 324
2 263, 372, 162
3 263, 186, 81
263, 62, 27

∴ So the LCM of the given numbers is 2 x 2 x 3 x 263 x 62 x 27 = 5283144

Least Common Multiple of 263,744,324 with GCF Formula

Least Common Multiple of 263,744,324 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 263,744,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,744,324) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(263,744,324) x common factors =1 x 12 = 12

LCM(263,744,324) = ( 263 × 744 × 324 ) / 12

LCM(263,744,324) = 63397728 / 12

LCM(263,744,324) = 5283144


Lets's calculate GCF of 578,966,746

2 578, 966, 746
289, 483, 373

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5283144/2

Therefore the LCM of Fractions 263/578,744/966,324/746 is 2641572

Greatest Common Factor of 578,966,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,966,746 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 578,966,746 . The biggest common factor number is the GCF number.
So the greatest common factor 578,966,746 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 263/578, 744/966, 324/746

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 263/578, 744/966, 324/746?

Answer: LCM of Numerators as per given numbers 263/578, 744/966, 324/746 is

LCM of Numerators i.e. for 263,744,324 is 5283144

GCF of denominators i.e. for 578,966,746 is 2.

Thus, LCM of Fractions is 2641572.Finally, LCM of Fractions for 263/578, 744/966, 324/746 is 2641572.