Least Common Multiple of 99/868, 3060/2376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/868, 3060/2376 quickly i.e. 8415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/868, 3060/2376 is 8415.

LCM(99/868, 3060/2376) = 8415

LCM of 99/868, 3060/2376

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 99/868,3060/2376

Given numbers are 99/868,3060/2376

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 99,3060

Least Common Multiple of Numerators i.e. LCM of 99,3060 is 33660.

GCF of Denominators means GCF of 868,2376 as per the given fractions.

GCF of 868,2376 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,3060

LCM of Fractions 99/868,3060/2376 is 8415

3 99, 3060
3 33, 1020
11, 340

∴ So the LCM of the given numbers is 3 x 3 x 11 x 340 = 33660

Least Common Multiple of 99,3060 with GCF Formula

Least Common Multiple of 99,3060 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 99,3060 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,3060) = 9

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

GCF(99,3060) x common factors =9 x 1 = 9

LCM(99,3060) = ( 99 × 3060 ) / 9

LCM(99,3060) = 302940 / 9

LCM(99,3060) = 33660


Lets's calculate GCF of 868,2376

2 868, 2376
2 434, 1188
217, 594

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33660/4

Therefore the LCM of Fractions 99/868,3060/2376 is 8415

Greatest Common Factor of 868,2376 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,2376 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 2376

List of positive integer factors of 2376 that divides 2376 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,27,33,36,44,54,66,72,88,99,108,132,198,216,264,297,396,594,792,1188,2376

Greatest Common Factor

We found the factors 868,2376 . The biggest common factor number is the GCF number.
So the greatest common factor 868,2376 is 4.


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 99/868, 3060/2376

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 99/868, 3060/2376?

Answer: LCM of Numerators as per given numbers 99/868, 3060/2376 is

LCM of Numerators i.e. for 99,3060 is 33660

GCF of denominators i.e. for 868,2376 is 4.

Thus, LCM of Fractions is 8415.Finally, LCM of Fractions for 99/868, 3060/2376 is 8415.