Least Common Multiple of 242/61, 187/19, 418/48

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 242/61, 187/19, 418/48 quickly i.e. 78166 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 242/61, 187/19, 418/48 is 78166.

LCM(242/61, 187/19, 418/48) = 78166

LCM of 242/61, 187/19, 418/48

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 242/61,187/19,418/48

Given numbers are 242/61,187/19,418/48

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 242,187,418

Least Common Multiple of Numerators i.e. LCM of 242,187,418 is 78166.

GCF of Denominators means GCF of 61,19,48 as per the given fractions.

GCF of 61,19,48 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 242,187,418

LCM of Fractions 242/61,187/19,418/48 is 78166

2 242, 187, 418
11 121, 187, 209
11, 17, 19

∴ So the LCM of the given numbers is 2 x 11 x 11 x 17 x 19 = 78166

Least Common Multiple of 242,187,418 with GCF Formula

Least Common Multiple of 242,187,418 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 242,187,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,187,418) = 11

common factors(in case of two or more numbers have common factors) = 22

GCF(242,187,418) x common factors =11 x 22 = 242

LCM(242,187,418) = ( 242 × 187 × 418 ) / 242

LCM(242,187,418) = 18916172 / 242

LCM(242,187,418) = 78166


Lets's calculate GCF of 61,19,48

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78166/1

Therefore the LCM of Fractions 242/61,187/19,418/48 is 78166

Greatest Common Factor of 61,19,48 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,19,48 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Greatest Common Factor

We found the factors 61,19,48 . The biggest common factor number is the GCF number.
So the greatest common factor 61,19,48 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 242/61, 187/19, 418/48

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 242/61, 187/19, 418/48?

Answer: LCM of Numerators as per given numbers 242/61, 187/19, 418/48 is

LCM of Numerators i.e. for 242,187,418 is 78166

GCF of denominators i.e. for 61,19,48 is 1.

Thus, LCM of Fractions is 78166.Finally, LCM of Fractions for 242/61, 187/19, 418/48 is 78166.