Least Common Multiple of 39/741, 1016/2654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 39/741, 1016/2654 quickly i.e. 39624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/741, 1016/2654 is 39624.

LCM(39/741, 1016/2654) = 39624

LCM of 39/741, 1016/2654

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 39/741,1016/2654

Given numbers are 39/741,1016/2654

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 39,1016

Least Common Multiple of Numerators i.e. LCM of 39,1016 is 39624.

GCF of Denominators means GCF of 741,2654 as per the given fractions.

GCF of 741,2654 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,1016

LCM of Fractions 39/741,1016/2654 is 39624

Given numbers has no common factors except 1. So, there LCM is their product i.e 39624

Least Common Multiple of 39,1016 with GCF Formula

Least Common Multiple of 39,1016 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 39,1016 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,1016) = 1

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

GCF(39,1016) x common factors =1 x 1 = 1

LCM(39,1016) = ( 39 × 1016 ) / 1

LCM(39,1016) = 39624 / 1

LCM(39,1016) = 39624


Lets's calculate GCF of 741,2654

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39624/1

Therefore the LCM of Fractions 39/741,1016/2654 is 39624

Greatest Common Factor of 741,2654 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,2654 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 2654

List of positive integer factors of 2654 that divides 2654 without a remainder.

1,2,1327,2654

Greatest Common Factor

We found the factors 741,2654 . The biggest common factor number is the GCF number.
So the greatest common factor 741,2654 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 39/741, 1016/2654

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 39/741, 1016/2654?

Answer: LCM of Numerators as per given numbers 39/741, 1016/2654 is

LCM of Numerators i.e. for 39,1016 is 39624

GCF of denominators i.e. for 741,2654 is 1.

Thus, LCM of Fractions is 39624.Finally, LCM of Fractions for 39/741, 1016/2654 is 39624.