Least Common Multiple of 114/815, 9921/4651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/815, 9921/4651 quickly i.e. 376998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 114/815, 9921/4651 is 376998.

LCM(114/815, 9921/4651) = 376998

LCM of 114/815, 9921/4651

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 114/815,9921/4651

Given numbers are 114/815,9921/4651

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 114,9921

Least Common Multiple of Numerators i.e. LCM of 114,9921 is 376998.

GCF of Denominators means GCF of 815,4651 as per the given fractions.

GCF of 815,4651 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,9921

LCM of Fractions 114/815,9921/4651 is 376998

3 114, 9921
38, 3307

∴ So the LCM of the given numbers is 3 x 38 x 3307 = 376998

Least Common Multiple of 114,9921 with GCF Formula

Least Common Multiple of 114,9921 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 114,9921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,9921) = 3

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

GCF(114,9921) x common factors =3 x 1 = 3

LCM(114,9921) = ( 114 × 9921 ) / 3

LCM(114,9921) = 1130994 / 3

LCM(114,9921) = 376998


Lets's calculate GCF of 815,4651

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 376998/1

Therefore the LCM of Fractions 114/815,9921/4651 is 376998

Greatest Common Factor of 815,4651 By Matching Biggest Common Factor Method

Greatest Common Factor of 815,4651 By Matching Biggest Common Factor Method

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Factors of 4651

List of positive integer factors of 4651 that divides 4651 without a remainder.

1,4651

Greatest Common Factor

We found the factors 815,4651 . The biggest common factor number is the GCF number.
So the greatest common factor 815,4651 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 114/815, 9921/4651

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 114/815, 9921/4651?

Answer: LCM of Numerators as per given numbers 114/815, 9921/4651 is

LCM of Numerators i.e. for 114,9921 is 376998

GCF of denominators i.e. for 815,4651 is 1.

Thus, LCM of Fractions is 376998.Finally, LCM of Fractions for 114/815, 9921/4651 is 376998.