Least Common Multiple of 741/21, 466/85, 474/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 741/21, 466/85, 474/507 quickly i.e. 27279174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 741/21, 466/85, 474/507 is 27279174.

LCM(741/21, 466/85, 474/507) = 27279174

LCM of 741/21, 466/85, 474/507

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 741/21,466/85,474/507

Given numbers are 741/21,466/85,474/507

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 741,466,474

Least Common Multiple of Numerators i.e. LCM of 741,466,474 is 27279174.

GCF of Denominators means GCF of 21,85,507 as per the given fractions.

GCF of 21,85,507 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 741,466,474

LCM of Fractions 741/21,466/85,474/507 is 27279174

2 741, 466, 474
3 741, 233, 237
247, 233, 79

∴ So the LCM of the given numbers is 2 x 3 x 247 x 233 x 79 = 27279174

Least Common Multiple of 741,466,474 with GCF Formula

Least Common Multiple of 741,466,474 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 741,466,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,466,474) = 1

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

GCF(741,466,474) x common factors =1 x 6 = 6

LCM(741,466,474) = ( 741 × 466 × 474 ) / 6

LCM(741,466,474) = 163675044 / 6

LCM(741,466,474) = 27279174


Lets's calculate GCF of 21,85,507

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27279174/1

Therefore the LCM of Fractions 741/21,466/85,474/507 is 27279174

Greatest Common Factor of 21,85,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,85,507 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 21,85,507 . The biggest common factor number is the GCF number.
So the greatest common factor 21,85,507 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 741/21, 466/85, 474/507

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 741/21, 466/85, 474/507?

Answer: LCM of Numerators as per given numbers 741/21, 466/85, 474/507 is

LCM of Numerators i.e. for 741,466,474 is 27279174

GCF of denominators i.e. for 21,85,507 is 1.

Thus, LCM of Fractions is 27279174.Finally, LCM of Fractions for 741/21, 466/85, 474/507 is 27279174.