Least Common Multiple of 26/728, 2965/3706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/728, 2965/3706 quickly i.e. 38545 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/728, 2965/3706 is 38545.

LCM(26/728, 2965/3706) = 38545

LCM of 26/728, 2965/3706

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 26/728,2965/3706

Given numbers are 26/728,2965/3706

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 26,2965

Least Common Multiple of Numerators i.e. LCM of 26,2965 is 77090.

GCF of Denominators means GCF of 728,3706 as per the given fractions.

GCF of 728,3706 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,2965

LCM of Fractions 26/728,2965/3706 is 38545

Given numbers has no common factors except 1. So, there LCM is their product i.e 77090

Least Common Multiple of 26,2965 with GCF Formula

Least Common Multiple of 26,2965 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 26,2965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,2965) = 1

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

GCF(26,2965) x common factors =1 x 1 = 1

LCM(26,2965) = ( 26 × 2965 ) / 1

LCM(26,2965) = 77090 / 1

LCM(26,2965) = 77090


Lets's calculate GCF of 728,3706

2 728, 3706
364, 1853

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77090/2

Therefore the LCM of Fractions 26/728,2965/3706 is 38545

Greatest Common Factor of 728,3706 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,3706 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 3706

List of positive integer factors of 3706 that divides 3706 without a remainder.

1,2,17,34,109,218,1853,3706

Greatest Common Factor

We found the factors 728,3706 . The biggest common factor number is the GCF number.
So the greatest common factor 728,3706 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 26/728, 2965/3706

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 26/728, 2965/3706?

Answer: LCM of Numerators as per given numbers 26/728, 2965/3706 is

LCM of Numerators i.e. for 26,2965 is 77090

GCF of denominators i.e. for 728,3706 is 2.

Thus, LCM of Fractions is 38545.Finally, LCM of Fractions for 26/728, 2965/3706 is 38545.