Least Common Multiple of 71/655, 41/514, 253/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/655, 41/514, 253/794 quickly i.e. 736483 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/655, 41/514, 253/794 is 736483.

LCM(71/655, 41/514, 253/794) = 736483

LCM of 71/655, 41/514, 253/794

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 71/655,41/514,253/794

Given numbers are 71/655,41/514,253/794

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 71,41,253

Least Common Multiple of Numerators i.e. LCM of 71,41,253 is 736483.

GCF of Denominators means GCF of 655,514,794 as per the given fractions.

GCF of 655,514,794 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,41,253

LCM of Fractions 71/655,41/514,253/794 is 736483

Given numbers has no common factors except 1. So, there LCM is their product i.e 736483

Least Common Multiple of 71,41,253 with GCF Formula

Least Common Multiple of 71,41,253 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 71,41,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,41,253) = 1

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

GCF(71,41,253) x common factors =1 x 1 = 1

LCM(71,41,253) = ( 71 × 41 × 253 ) / 1

LCM(71,41,253) = 736483 / 1

LCM(71,41,253) = 736483


Lets's calculate GCF of 655,514,794

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 736483/1

Therefore the LCM of Fractions 71/655,41/514,253/794 is 736483

Greatest Common Factor of 655,514,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 655,514,794 By Matching Biggest Common Factor Method

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 655,514,794 . The biggest common factor number is the GCF number.
So the greatest common factor 655,514,794 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 71/655, 41/514, 253/794

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 71/655, 41/514, 253/794?

Answer: LCM of Numerators as per given numbers 71/655, 41/514, 253/794 is

LCM of Numerators i.e. for 71,41,253 is 736483

GCF of denominators i.e. for 655,514,794 is 1.

Thus, LCM of Fractions is 736483.Finally, LCM of Fractions for 71/655, 41/514, 253/794 is 736483.