Least Common Multiple of 14/813, 4991/9155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/813, 4991/9155 quickly i.e. 9982 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/813, 4991/9155 is 9982.

LCM(14/813, 4991/9155) = 9982

LCM of 14/813, 4991/9155

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 14/813,4991/9155

Given numbers are 14/813,4991/9155

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 14,4991

Least Common Multiple of Numerators i.e. LCM of 14,4991 is 9982.

GCF of Denominators means GCF of 813,9155 as per the given fractions.

GCF of 813,9155 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,4991

LCM of Fractions 14/813,4991/9155 is 9982

7 14, 4991
2, 713

∴ So the LCM of the given numbers is 7 x 2 x 713 = 9982

Least Common Multiple of 14,4991 with GCF Formula

Least Common Multiple of 14,4991 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 14,4991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,4991) = 7

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

GCF(14,4991) x common factors =7 x 1 = 7

LCM(14,4991) = ( 14 × 4991 ) / 7

LCM(14,4991) = 69874 / 7

LCM(14,4991) = 9982


Lets's calculate GCF of 813,9155

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9982/1

Therefore the LCM of Fractions 14/813,4991/9155 is 9982

Greatest Common Factor of 813,9155 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,9155 By Matching Biggest Common Factor Method

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 9155

List of positive integer factors of 9155 that divides 9155 without a remainder.

1,5,1831,9155

Greatest Common Factor

We found the factors 813,9155 . The biggest common factor number is the GCF number.
So the greatest common factor 813,9155 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 14/813, 4991/9155

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 14/813, 4991/9155?

Answer: LCM of Numerators as per given numbers 14/813, 4991/9155 is

LCM of Numerators i.e. for 14,4991 is 9982

GCF of denominators i.e. for 813,9155 is 1.

Thus, LCM of Fractions is 9982.Finally, LCM of Fractions for 14/813, 4991/9155 is 9982.