Least Common Multiple of 253/256, 101/303, 796/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 253/256, 101/303, 796/720 quickly i.e. 20340188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 253/256, 101/303, 796/720 is 20340188.

LCM(253/256, 101/303, 796/720) = 20340188

LCM of 253/256, 101/303, 796/720

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 253/256,101/303,796/720

Given numbers are 253/256,101/303,796/720

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 253,101,796

Least Common Multiple of Numerators i.e. LCM of 253,101,796 is 20340188.

GCF of Denominators means GCF of 256,303,720 as per the given fractions.

GCF of 256,303,720 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 253,101,796

LCM of Fractions 253/256,101/303,796/720 is 20340188

Given numbers has no common factors except 1. So, there LCM is their product i.e 20340188

Least Common Multiple of 253,101,796 with GCF Formula

Least Common Multiple of 253,101,796 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 253,101,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,101,796) = 1

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

GCF(253,101,796) x common factors =1 x 1 = 1

LCM(253,101,796) = ( 253 × 101 × 796 ) / 1

LCM(253,101,796) = 20340188 / 1

LCM(253,101,796) = 20340188


Lets's calculate GCF of 256,303,720

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20340188/1

Therefore the LCM of Fractions 253/256,101/303,796/720 is 20340188

Greatest Common Factor of 256,303,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 256,303,720 By Matching Biggest Common Factor Method

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 256,303,720 . The biggest common factor number is the GCF number.
So the greatest common factor 256,303,720 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 253/256, 101/303, 796/720

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 253/256, 101/303, 796/720?

Answer: LCM of Numerators as per given numbers 253/256, 101/303, 796/720 is

LCM of Numerators i.e. for 253,101,796 is 20340188

GCF of denominators i.e. for 256,303,720 is 1.

Thus, LCM of Fractions is 20340188.Finally, LCM of Fractions for 253/256, 101/303, 796/720 is 20340188.