Least Common Multiple of 27/746, 285/605, 538/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/746, 285/605, 538/324 quickly i.e. 1379970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/746, 285/605, 538/324 is 1379970.

LCM(27/746, 285/605, 538/324) = 1379970

LCM of 27/746, 285/605, 538/324

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 27/746,285/605,538/324

Given numbers are 27/746,285/605,538/324

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 27,285,538

Least Common Multiple of Numerators i.e. LCM of 27,285,538 is 1379970.

GCF of Denominators means GCF of 746,605,324 as per the given fractions.

GCF of 746,605,324 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,285,538

LCM of Fractions 27/746,285/605,538/324 is 1379970

3 27, 285, 538
9, 95, 538

∴ So the LCM of the given numbers is 3 x 9 x 95 x 538 = 1379970

Least Common Multiple of 27,285,538 with GCF Formula

Least Common Multiple of 27,285,538 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 27,285,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,285,538) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(27,285,538) x common factors =1 x 3 = 3

LCM(27,285,538) = ( 27 × 285 × 538 ) / 3

LCM(27,285,538) = 4139910 / 3

LCM(27,285,538) = 1379970


Lets's calculate GCF of 746,605,324

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1379970/1

Therefore the LCM of Fractions 27/746,285/605,538/324 is 1379970

Greatest Common Factor of 746,605,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,605,324 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 605

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

1,5,11,55,121,605

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 746,605,324 . The biggest common factor number is the GCF number.
So the greatest common factor 746,605,324 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 27/746, 285/605, 538/324

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 27/746, 285/605, 538/324?

Answer: LCM of Numerators as per given numbers 27/746, 285/605, 538/324 is

LCM of Numerators i.e. for 27,285,538 is 1379970

GCF of denominators i.e. for 746,605,324 is 1.

Thus, LCM of Fractions is 1379970.Finally, LCM of Fractions for 27/746, 285/605, 538/324 is 1379970.