Least Common Multiple of 721/287, 9037/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 721/287, 9037/401 quickly i.e. 930811 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 721/287, 9037/401 is 930811.

LCM(721/287, 9037/401) = 930811

LCM of 721/287, 9037/401

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 721/287,9037/401

Given numbers are 721/287,9037/401

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 721,9037

Least Common Multiple of Numerators i.e. LCM of 721,9037 is 930811.

GCF of Denominators means GCF of 287,401 as per the given fractions.

GCF of 287,401 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 721,9037

LCM of Fractions 721/287,9037/401 is 930811

7 721, 9037
103, 1291

∴ So the LCM of the given numbers is 7 x 103 x 1291 = 930811

Least Common Multiple of 721,9037 with GCF Formula

Least Common Multiple of 721,9037 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 721,9037 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,9037) = 7

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

GCF(721,9037) x common factors =7 x 1 = 7

LCM(721,9037) = ( 721 × 9037 ) / 7

LCM(721,9037) = 6515677 / 7

LCM(721,9037) = 930811


Lets's calculate GCF of 287,401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 930811/1

Therefore the LCM of Fractions 721/287,9037/401 is 930811

Greatest Common Factor of 287,401 By Matching Biggest Common Factor Method

Greatest Common Factor of 287,401 By Matching Biggest Common Factor Method

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Greatest Common Factor

We found the factors 287,401 . The biggest common factor number is the GCF number.
So the greatest common factor 287,401 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 721/287, 9037/401

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 721/287, 9037/401?

Answer: LCM of Numerators as per given numbers 721/287, 9037/401 is

LCM of Numerators i.e. for 721,9037 is 930811

GCF of denominators i.e. for 287,401 is 1.

Thus, LCM of Fractions is 930811.Finally, LCM of Fractions for 721/287, 9037/401 is 930811.