Least Common Multiple of 486/39, 4538/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 486/39, 4538/364 quickly i.e. 1102734/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 486/39, 4538/364 is 1102734/13.

LCM(486/39, 4538/364) = 1102734/13

LCM of 486/39, 4538/364

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 486/39,4538/364

Given numbers are 486/39,4538/364

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 486,4538

Least Common Multiple of Numerators i.e. LCM of 486,4538 is 1102734.

GCF of Denominators means GCF of 39,364 as per the given fractions.

GCF of 39,364 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 486,4538

LCM of Fractions 486/39,4538/364 is 1102734/13

2 486, 4538
243, 2269

∴ So the LCM of the given numbers is 2 x 243 x 2269 = 1102734

Least Common Multiple of 486,4538 with GCF Formula

Least Common Multiple of 486,4538 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 486,4538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,4538) = 2

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

GCF(486,4538) x common factors =2 x 1 = 2

LCM(486,4538) = ( 486 × 4538 ) / 2

LCM(486,4538) = 2205468 / 2

LCM(486,4538) = 1102734


Lets's calculate GCF of 39,364

13 39, 364
3, 28

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1102734/13

Therefore the LCM of Fractions 486/39,4538/364 is 1102734/13

Greatest Common Factor of 39,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,364 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 39,364 . The biggest common factor number is the GCF number.
So the greatest common factor 39,364 is 13.


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 486/39, 4538/364

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 486/39, 4538/364?

Answer: LCM of Numerators as per given numbers 486/39, 4538/364 is

LCM of Numerators i.e. for 486,4538 is 1102734

GCF of denominators i.e. for 39,364 is 13.

Thus, LCM of Fractions is 1102734/13.Finally, LCM of Fractions for 486/39, 4538/364 is 1102734/13.