Least Common Multiple of 410/744, 272/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 410/744, 272/578 quickly i.e. 27880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 410/744, 272/578 is 27880.

LCM(410/744, 272/578) = 27880

LCM of 410/744, 272/578

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 410/744,272/578

Given numbers are 410/744,272/578

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 410,272

Least Common Multiple of Numerators i.e. LCM of 410,272 is 55760.

GCF of Denominators means GCF of 744,578 as per the given fractions.

GCF of 744,578 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 410,272

LCM of Fractions 410/744,272/578 is 27880

2 410, 272
205, 136

∴ So the LCM of the given numbers is 2 x 205 x 136 = 55760

Least Common Multiple of 410,272 with GCF Formula

Least Common Multiple of 410,272 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 410,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,272) = 2

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

GCF(410,272) x common factors =2 x 1 = 2

LCM(410,272) = ( 410 × 272 ) / 2

LCM(410,272) = 111520 / 2

LCM(410,272) = 55760


Lets's calculate GCF of 744,578

2 744, 578
372, 289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55760/2

Therefore the LCM of Fractions 410/744,272/578 is 27880

Greatest Common Factor of 744,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,578 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 578

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

1,2,17,34,289,578

Greatest Common Factor

We found the factors 744,578 . The biggest common factor number is the GCF number.
So the greatest common factor 744,578 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 410/744, 272/578

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 410/744, 272/578?

Answer: LCM of Numerators as per given numbers 410/744, 272/578 is

LCM of Numerators i.e. for 410,272 is 55760

GCF of denominators i.e. for 744,578 is 2.

Thus, LCM of Fractions is 27880.Finally, LCM of Fractions for 410/744, 272/578 is 27880.