Least Common Multiple of 18/42, 193/76, 761/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/42, 193/76, 761/334 quickly i.e. 1321857 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/42, 193/76, 761/334 is 1321857.

LCM(18/42, 193/76, 761/334) = 1321857

LCM of 18/42, 193/76, 761/334

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 18/42,193/76,761/334

Given numbers are 18/42,193/76,761/334

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 18,193,761

Least Common Multiple of Numerators i.e. LCM of 18,193,761 is 2643714.

GCF of Denominators means GCF of 42,76,334 as per the given fractions.

GCF of 42,76,334 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,193,761

LCM of Fractions 18/42,193/76,761/334 is 1321857

Given numbers has no common factors except 1. So, there LCM is their product i.e 2643714

Least Common Multiple of 18,193,761 with GCF Formula

Least Common Multiple of 18,193,761 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 18,193,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,193,761) = 1

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

GCF(18,193,761) x common factors =1 x 1 = 1

LCM(18,193,761) = ( 18 × 193 × 761 ) / 1

LCM(18,193,761) = 2643714 / 1

LCM(18,193,761) = 2643714


Lets's calculate GCF of 42,76,334

2 42, 76, 334
21, 38, 167

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2643714/2

Therefore the LCM of Fractions 18/42,193/76,761/334 is 1321857

Greatest Common Factor of 42,76,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,76,334 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 42,76,334 . The biggest common factor number is the GCF number.
So the greatest common factor 42,76,334 is 2.


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 18/42, 193/76, 761/334

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 18/42, 193/76, 761/334?

Answer: LCM of Numerators as per given numbers 18/42, 193/76, 761/334 is

LCM of Numerators i.e. for 18,193,761 is 2643714

GCF of denominators i.e. for 42,76,334 is 2.

Thus, LCM of Fractions is 1321857.Finally, LCM of Fractions for 18/42, 193/76, 761/334 is 1321857.