Least Common Multiple of 720/351, 413/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 720/351, 413/199 quickly i.e. 297360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 720/351, 413/199 is 297360.

LCM(720/351, 413/199) = 297360

LCM of 720/351, 413/199

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 720/351,413/199

Given numbers are 720/351,413/199

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 720,413

Least Common Multiple of Numerators i.e. LCM of 720,413 is 297360.

GCF of Denominators means GCF of 351,199 as per the given fractions.

GCF of 351,199 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 720,413

LCM of Fractions 720/351,413/199 is 297360

Given numbers has no common factors except 1. So, there LCM is their product i.e 297360

Least Common Multiple of 720,413 with GCF Formula

Least Common Multiple of 720,413 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 720,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,413) = 1

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

GCF(720,413) x common factors =1 x 1 = 1

LCM(720,413) = ( 720 × 413 ) / 1

LCM(720,413) = 297360 / 1

LCM(720,413) = 297360


Lets's calculate GCF of 351,199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 297360/1

Therefore the LCM of Fractions 720/351,413/199 is 297360

Greatest Common Factor of 351,199 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,199 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Greatest Common Factor

We found the factors 351,199 . The biggest common factor number is the GCF number.
So the greatest common factor 351,199 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 720/351, 413/199

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 720/351, 413/199?

Answer: LCM of Numerators as per given numbers 720/351, 413/199 is

LCM of Numerators i.e. for 720,413 is 297360

GCF of denominators i.e. for 351,199 is 1.

Thus, LCM of Fractions is 297360.Finally, LCM of Fractions for 720/351, 413/199 is 297360.