Least Common Multiple of 42/522, 18/661, 438/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/522, 18/661, 438/605 quickly i.e. 9198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/522, 18/661, 438/605 is 9198.

LCM(42/522, 18/661, 438/605) = 9198

LCM of 42/522, 18/661, 438/605

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 42/522,18/661,438/605

Given numbers are 42/522,18/661,438/605

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 42,18,438

Least Common Multiple of Numerators i.e. LCM of 42,18,438 is 9198.

GCF of Denominators means GCF of 522,661,605 as per the given fractions.

GCF of 522,661,605 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,18,438

LCM of Fractions 42/522,18/661,438/605 is 9198

2 42, 18, 438
3 21, 9, 219
7, 3, 73

∴ So the LCM of the given numbers is 2 x 3 x 7 x 3 x 73 = 9198

Least Common Multiple of 42,18,438 with GCF Formula

Least Common Multiple of 42,18,438 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 42,18,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,18,438) = 6

common factors(in case of two or more numbers have common factors) = 6

GCF(42,18,438) x common factors =6 x 6 = 36

LCM(42,18,438) = ( 42 × 18 × 438 ) / 36

LCM(42,18,438) = 331128 / 36

LCM(42,18,438) = 9198


Lets's calculate GCF of 522,661,605

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9198/1

Therefore the LCM of Fractions 42/522,18/661,438/605 is 9198

Greatest Common Factor of 522,661,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,661,605 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 522,661,605 . The biggest common factor number is the GCF number.
So the greatest common factor 522,661,605 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 42/522, 18/661, 438/605

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 42/522, 18/661, 438/605?

Answer: LCM of Numerators as per given numbers 42/522, 18/661, 438/605 is

LCM of Numerators i.e. for 42,18,438 is 9198

GCF of denominators i.e. for 522,661,605 is 1.

Thus, LCM of Fractions is 9198.Finally, LCM of Fractions for 42/522, 18/661, 438/605 is 9198.