Least Common Multiple of 272/732, 795/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 272/732, 795/410 quickly i.e. 108120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 272/732, 795/410 is 108120.

LCM(272/732, 795/410) = 108120

LCM of 272/732, 795/410

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 272/732,795/410

Given numbers are 272/732,795/410

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 272,795

Least Common Multiple of Numerators i.e. LCM of 272,795 is 216240.

GCF of Denominators means GCF of 732,410 as per the given fractions.

GCF of 732,410 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 272,795

LCM of Fractions 272/732,795/410 is 108120

Given numbers has no common factors except 1. So, there LCM is their product i.e 216240

Least Common Multiple of 272,795 with GCF Formula

Least Common Multiple of 272,795 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 272,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,795) = 1

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

GCF(272,795) x common factors =1 x 1 = 1

LCM(272,795) = ( 272 × 795 ) / 1

LCM(272,795) = 216240 / 1

LCM(272,795) = 216240


Lets's calculate GCF of 732,410

2 732, 410
366, 205

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216240/2

Therefore the LCM of Fractions 272/732,795/410 is 108120

Greatest Common Factor of 732,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,410 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 732,410 . The biggest common factor number is the GCF number.
So the greatest common factor 732,410 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 272/732, 795/410

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 272/732, 795/410?

Answer: LCM of Numerators as per given numbers 272/732, 795/410 is

LCM of Numerators i.e. for 272,795 is 216240

GCF of denominators i.e. for 732,410 is 2.

Thus, LCM of Fractions is 108120.Finally, LCM of Fractions for 272/732, 795/410 is 108120.