Least Common Multiple of 2718/870, 7908/5885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2718/870, 7908/5885 quickly i.e. 3582324/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2718/870, 7908/5885 is 3582324/5.

LCM(2718/870, 7908/5885) = 3582324/5

LCM of 2718/870, 7908/5885

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 2718/870,7908/5885

Given numbers are 2718/870,7908/5885

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 2718,7908

Least Common Multiple of Numerators i.e. LCM of 2718,7908 is 3582324.

GCF of Denominators means GCF of 870,5885 as per the given fractions.

GCF of 870,5885 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2718,7908

LCM of Fractions 2718/870,7908/5885 is 3582324/5

2 2718, 7908
3 1359, 3954
453, 1318

∴ So the LCM of the given numbers is 2 x 3 x 453 x 1318 = 3582324

Least Common Multiple of 2718,7908 with GCF Formula

Least Common Multiple of 2718,7908 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 2718,7908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2718,7908) = 6

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

GCF(2718,7908) x common factors =6 x 1 = 6

LCM(2718,7908) = ( 2718 × 7908 ) / 6

LCM(2718,7908) = 21493944 / 6

LCM(2718,7908) = 3582324


Lets's calculate GCF of 870,5885

5 870, 5885
174, 1177

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3582324/5

Therefore the LCM of Fractions 2718/870,7908/5885 is 3582324/5

Greatest Common Factor of 870,5885 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,5885 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 5885

List of positive integer factors of 5885 that divides 5885 without a remainder.

1,5,11,55,107,535,1177,5885

Greatest Common Factor

We found the factors 870,5885 . The biggest common factor number is the GCF number.
So the greatest common factor 870,5885 is 5.


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 2718/870, 7908/5885

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 2718/870, 7908/5885?

Answer: LCM of Numerators as per given numbers 2718/870, 7908/5885 is

LCM of Numerators i.e. for 2718,7908 is 3582324

GCF of denominators i.e. for 870,5885 is 5.

Thus, LCM of Fractions is 3582324/5.Finally, LCM of Fractions for 2718/870, 7908/5885 is 3582324/5.