Least Common Multiple of 8914/299, 6376/7101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8914/299, 6376/7101 quickly i.e. 28417832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8914/299, 6376/7101 is 28417832.

LCM(8914/299, 6376/7101) = 28417832

LCM of 8914/299, 6376/7101

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 8914/299,6376/7101

Given numbers are 8914/299,6376/7101

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 8914,6376

Least Common Multiple of Numerators i.e. LCM of 8914,6376 is 28417832.

GCF of Denominators means GCF of 299,7101 as per the given fractions.

GCF of 299,7101 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8914,6376

LCM of Fractions 8914/299,6376/7101 is 28417832

2 8914, 6376
4457, 3188

∴ So the LCM of the given numbers is 2 x 4457 x 3188 = 28417832

Least Common Multiple of 8914,6376 with GCF Formula

Least Common Multiple of 8914,6376 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 8914,6376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8914,6376) = 2

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

GCF(8914,6376) x common factors =2 x 1 = 2

LCM(8914,6376) = ( 8914 × 6376 ) / 2

LCM(8914,6376) = 56835664 / 2

LCM(8914,6376) = 28417832


Lets's calculate GCF of 299,7101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28417832/1

Therefore the LCM of Fractions 8914/299,6376/7101 is 28417832

Greatest Common Factor of 299,7101 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,7101 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 7101

List of positive integer factors of 7101 that divides 7101 without a remainder.

1,3,9,27,263,789,2367,7101

Greatest Common Factor

We found the factors 299,7101 . The biggest common factor number is the GCF number.
So the greatest common factor 299,7101 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 8914/299, 6376/7101

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 8914/299, 6376/7101?

Answer: LCM of Numerators as per given numbers 8914/299, 6376/7101 is

LCM of Numerators i.e. for 8914,6376 is 28417832

GCF of denominators i.e. for 299,7101 is 1.

Thus, LCM of Fractions is 28417832.Finally, LCM of Fractions for 8914/299, 6376/7101 is 28417832.