Least Common Multiple of 72/408, 2893/2606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/408, 2893/2606 quickly i.e. 104148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/408, 2893/2606 is 104148.

LCM(72/408, 2893/2606) = 104148

LCM of 72/408, 2893/2606

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 72/408,2893/2606

Given numbers are 72/408,2893/2606

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 72,2893

Least Common Multiple of Numerators i.e. LCM of 72,2893 is 208296.

GCF of Denominators means GCF of 408,2606 as per the given fractions.

GCF of 408,2606 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,2893

LCM of Fractions 72/408,2893/2606 is 104148

Given numbers has no common factors except 1. So, there LCM is their product i.e 208296

Least Common Multiple of 72,2893 with GCF Formula

Least Common Multiple of 72,2893 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 72,2893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,2893) = 1

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

GCF(72,2893) x common factors =1 x 1 = 1

LCM(72,2893) = ( 72 × 2893 ) / 1

LCM(72,2893) = 208296 / 1

LCM(72,2893) = 208296


Lets's calculate GCF of 408,2606

2 408, 2606
204, 1303

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 208296/2

Therefore the LCM of Fractions 72/408,2893/2606 is 104148

Greatest Common Factor of 408,2606 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,2606 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 2606

List of positive integer factors of 2606 that divides 2606 without a remainder.

1,2,1303,2606

Greatest Common Factor

We found the factors 408,2606 . The biggest common factor number is the GCF number.
So the greatest common factor 408,2606 is 2.


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 72/408, 2893/2606

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 72/408, 2893/2606?

Answer: LCM of Numerators as per given numbers 72/408, 2893/2606 is

LCM of Numerators i.e. for 72,2893 is 208296

GCF of denominators i.e. for 408,2606 is 2.

Thus, LCM of Fractions is 104148.Finally, LCM of Fractions for 72/408, 2893/2606 is 104148.