Least Common Multiple of 68/141, 18/926, 481/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/141, 18/926, 481/466 quickly i.e. 294372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/141, 18/926, 481/466 is 294372.

LCM(68/141, 18/926, 481/466) = 294372

LCM of 68/141, 18/926, 481/466

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 68/141,18/926,481/466

Given numbers are 68/141,18/926,481/466

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 68,18,481

Least Common Multiple of Numerators i.e. LCM of 68,18,481 is 294372.

GCF of Denominators means GCF of 141,926,466 as per the given fractions.

GCF of 141,926,466 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,18,481

LCM of Fractions 68/141,18/926,481/466 is 294372

2 68, 18, 481
34, 9, 481

∴ So the LCM of the given numbers is 2 x 34 x 9 x 481 = 294372

Least Common Multiple of 68,18,481 with GCF Formula

Least Common Multiple of 68,18,481 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 68,18,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,18,481) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(68,18,481) x common factors =1 x 2 = 2

LCM(68,18,481) = ( 68 × 18 × 481 ) / 2

LCM(68,18,481) = 588744 / 2

LCM(68,18,481) = 294372


Lets's calculate GCF of 141,926,466

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 294372/1

Therefore the LCM of Fractions 68/141,18/926,481/466 is 294372

Greatest Common Factor of 141,926,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 141,926,466 By Matching Biggest Common Factor Method

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 141,926,466 . The biggest common factor number is the GCF number.
So the greatest common factor 141,926,466 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 68/141, 18/926, 481/466

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 68/141, 18/926, 481/466?

Answer: LCM of Numerators as per given numbers 68/141, 18/926, 481/466 is

LCM of Numerators i.e. for 68,18,481 is 294372

GCF of denominators i.e. for 141,926,466 is 1.

Thus, LCM of Fractions is 294372.Finally, LCM of Fractions for 68/141, 18/926, 481/466 is 294372.