Least Common Multiple of 762/221, 797/272, 797/347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 762/221, 797/272, 797/347 quickly i.e. 607314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 762/221, 797/272, 797/347 is 607314.

LCM(762/221, 797/272, 797/347) = 607314

LCM of 762/221, 797/272, 797/347

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 762/221,797/272,797/347

Given numbers are 762/221,797/272,797/347

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 762,797,797

Least Common Multiple of Numerators i.e. LCM of 762,797,797 is 607314.

GCF of Denominators means GCF of 221,272,347 as per the given fractions.

GCF of 221,272,347 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 762,797,797

LCM of Fractions 762/221,797/272,797/347 is 607314

797 762, 797, 797
762, 1, 1

∴ So the LCM of the given numbers is 797 x 762 x 1 x 1 = 607314

Least Common Multiple of 762,797,797 with GCF Formula

Least Common Multiple of 762,797,797 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 762,797,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,797,797) = 1

common factors(in case of two or more numbers have common factors) = 797

GCF(762,797,797) x common factors =1 x 797 = 797

LCM(762,797,797) = ( 762 × 797 × 797 ) / 797

LCM(762,797,797) = 484029258 / 797

LCM(762,797,797) = 607314


Lets's calculate GCF of 221,272,347

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 607314/1

Therefore the LCM of Fractions 762/221,797/272,797/347 is 607314

Greatest Common Factor of 221,272,347 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,272,347 By Matching Biggest Common Factor Method

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Greatest Common Factor

We found the factors 221,272,347 . The biggest common factor number is the GCF number.
So the greatest common factor 221,272,347 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 762/221, 797/272, 797/347

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 762/221, 797/272, 797/347?

Answer: LCM of Numerators as per given numbers 762/221, 797/272, 797/347 is

LCM of Numerators i.e. for 762,797,797 is 607314

GCF of denominators i.e. for 221,272,347 is 1.

Thus, LCM of Fractions is 607314.Finally, LCM of Fractions for 762/221, 797/272, 797/347 is 607314.