Least Common Multiple of 4587/314, 1991/9721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4587/314, 1991/9721 quickly i.e. 830247 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4587/314, 1991/9721 is 830247.

LCM(4587/314, 1991/9721) = 830247

LCM of 4587/314, 1991/9721

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 4587/314,1991/9721

Given numbers are 4587/314,1991/9721

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 4587,1991

Least Common Multiple of Numerators i.e. LCM of 4587,1991 is 830247.

GCF of Denominators means GCF of 314,9721 as per the given fractions.

GCF of 314,9721 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4587,1991

LCM of Fractions 4587/314,1991/9721 is 830247

11 4587, 1991
417, 181

∴ So the LCM of the given numbers is 11 x 417 x 181 = 830247

Least Common Multiple of 4587,1991 with GCF Formula

Least Common Multiple of 4587,1991 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 4587,1991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4587,1991) = 11

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

GCF(4587,1991) x common factors =11 x 1 = 11

LCM(4587,1991) = ( 4587 × 1991 ) / 11

LCM(4587,1991) = 9132717 / 11

LCM(4587,1991) = 830247


Lets's calculate GCF of 314,9721

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 830247/1

Therefore the LCM of Fractions 4587/314,1991/9721 is 830247

Greatest Common Factor of 314,9721 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,9721 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 9721

List of positive integer factors of 9721 that divides 9721 without a remainder.

1,9721

Greatest Common Factor

We found the factors 314,9721 . The biggest common factor number is the GCF number.
So the greatest common factor 314,9721 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 4587/314, 1991/9721

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 4587/314, 1991/9721?

Answer: LCM of Numerators as per given numbers 4587/314, 1991/9721 is

LCM of Numerators i.e. for 4587,1991 is 830247

GCF of denominators i.e. for 314,9721 is 1.

Thus, LCM of Fractions is 830247.Finally, LCM of Fractions for 4587/314, 1991/9721 is 830247.