Least Common Multiple of 486/66, 242/1057

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 486/66, 242/1057 quickly i.e. 58806 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 486/66, 242/1057 is 58806.

LCM(486/66, 242/1057) = 58806

LCM of 486/66, 242/1057

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 486/66,242/1057

Given numbers are 486/66,242/1057

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 486,242

Least Common Multiple of Numerators i.e. LCM of 486,242 is 58806.

GCF of Denominators means GCF of 66,1057 as per the given fractions.

GCF of 66,1057 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 486,242

LCM of Fractions 486/66,242/1057 is 58806

2 486, 242
243, 121

∴ So the LCM of the given numbers is 2 x 243 x 121 = 58806

Least Common Multiple of 486,242 with GCF Formula

Least Common Multiple of 486,242 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 486,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,242) = 2

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

GCF(486,242) x common factors =2 x 1 = 2

LCM(486,242) = ( 486 × 242 ) / 2

LCM(486,242) = 117612 / 2

LCM(486,242) = 58806


Lets's calculate GCF of 66,1057

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58806/1

Therefore the LCM of Fractions 486/66,242/1057 is 58806

Greatest Common Factor of 66,1057 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,1057 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 1057

List of positive integer factors of 1057 that divides 1057 without a remainder.

1,7,151,1057

Greatest Common Factor

We found the factors 66,1057 . The biggest common factor number is the GCF number.
So the greatest common factor 66,1057 is 1.


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 486/66, 242/1057

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 486/66, 242/1057?

Answer: LCM of Numerators as per given numbers 486/66, 242/1057 is

LCM of Numerators i.e. for 486,242 is 58806

GCF of denominators i.e. for 66,1057 is 1.

Thus, LCM of Fractions is 58806.Finally, LCM of Fractions for 486/66, 242/1057 is 58806.