Least Common Multiple of 721/391, 6791/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 721/391, 6791/448 quickly i.e. 4896311 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 721/391, 6791/448 is 4896311.

LCM(721/391, 6791/448) = 4896311

LCM of 721/391, 6791/448

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 721/391,6791/448

Given numbers are 721/391,6791/448

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 721,6791

Least Common Multiple of Numerators i.e. LCM of 721,6791 is 4896311.

GCF of Denominators means GCF of 391,448 as per the given fractions.

GCF of 391,448 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 721,6791

LCM of Fractions 721/391,6791/448 is 4896311

Given numbers has no common factors except 1. So, there LCM is their product i.e 4896311

Least Common Multiple of 721,6791 with GCF Formula

Least Common Multiple of 721,6791 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 721,6791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,6791) = 1

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

GCF(721,6791) x common factors =1 x 1 = 1

LCM(721,6791) = ( 721 × 6791 ) / 1

LCM(721,6791) = 4896311 / 1

LCM(721,6791) = 4896311


Lets's calculate GCF of 391,448

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4896311/1

Therefore the LCM of Fractions 721/391,6791/448 is 4896311

Greatest Common Factor of 391,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 391,448 By Matching Biggest Common Factor Method

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 391,448 . The biggest common factor number is the GCF number.
So the greatest common factor 391,448 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 721/391, 6791/448

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 721/391, 6791/448?

Answer: LCM of Numerators as per given numbers 721/391, 6791/448 is

LCM of Numerators i.e. for 721,6791 is 4896311

GCF of denominators i.e. for 391,448 is 1.

Thus, LCM of Fractions is 4896311.Finally, LCM of Fractions for 721/391, 6791/448 is 4896311.