Least Common Multiple of 2415/216, 6781/6748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2415/216, 6781/6748 quickly i.e. 16376115/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2415/216, 6781/6748 is 16376115/4.

LCM(2415/216, 6781/6748) = 16376115/4

LCM of 2415/216, 6781/6748

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 2415/216,6781/6748

Given numbers are 2415/216,6781/6748

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 2415,6781

Least Common Multiple of Numerators i.e. LCM of 2415,6781 is 16376115.

GCF of Denominators means GCF of 216,6748 as per the given fractions.

GCF of 216,6748 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2415,6781

LCM of Fractions 2415/216,6781/6748 is 16376115/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 16376115

Least Common Multiple of 2415,6781 with GCF Formula

Least Common Multiple of 2415,6781 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 2415,6781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2415,6781) = 1

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

GCF(2415,6781) x common factors =1 x 1 = 1

LCM(2415,6781) = ( 2415 × 6781 ) / 1

LCM(2415,6781) = 16376115 / 1

LCM(2415,6781) = 16376115


Lets's calculate GCF of 216,6748

2 216, 6748
2 108, 3374
54, 1687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16376115/4

Therefore the LCM of Fractions 2415/216,6781/6748 is 16376115/4

Greatest Common Factor of 216,6748 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,6748 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 6748

List of positive integer factors of 6748 that divides 6748 without a remainder.

1,2,4,7,14,28,241,482,964,1687,3374,6748

Greatest Common Factor

We found the factors 216,6748 . The biggest common factor number is the GCF number.
So the greatest common factor 216,6748 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 2415/216, 6781/6748

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 2415/216, 6781/6748?

Answer: LCM of Numerators as per given numbers 2415/216, 6781/6748 is

LCM of Numerators i.e. for 2415,6781 is 16376115

GCF of denominators i.e. for 216,6748 is 4.

Thus, LCM of Fractions is 16376115/4.Finally, LCM of Fractions for 2415/216, 6781/6748 is 16376115/4.