Least Common Multiple of 27/732, 48/464, 679/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/732, 48/464, 679/231 quickly i.e. 293328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/732, 48/464, 679/231 is 293328.

LCM(27/732, 48/464, 679/231) = 293328

LCM of 27/732, 48/464, 679/231

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 27/732,48/464,679/231

Given numbers are 27/732,48/464,679/231

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 27,48,679

Least Common Multiple of Numerators i.e. LCM of 27,48,679 is 293328.

GCF of Denominators means GCF of 732,464,231 as per the given fractions.

GCF of 732,464,231 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,48,679

LCM of Fractions 27/732,48/464,679/231 is 293328

3 27, 48, 679
9, 16, 679

∴ So the LCM of the given numbers is 3 x 9 x 16 x 679 = 293328

Least Common Multiple of 27,48,679 with GCF Formula

Least Common Multiple of 27,48,679 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 27,48,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,48,679) = 1

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

GCF(27,48,679) x common factors =1 x 3 = 3

LCM(27,48,679) = ( 27 × 48 × 679 ) / 3

LCM(27,48,679) = 879984 / 3

LCM(27,48,679) = 293328


Lets's calculate GCF of 732,464,231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 293328/1

Therefore the LCM of Fractions 27/732,48/464,679/231 is 293328

Greatest Common Factor of 732,464,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,464,231 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 732,464,231 . The biggest common factor number is the GCF number.
So the greatest common factor 732,464,231 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 27/732, 48/464, 679/231

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 27/732, 48/464, 679/231?

Answer: LCM of Numerators as per given numbers 27/732, 48/464, 679/231 is

LCM of Numerators i.e. for 27,48,679 is 293328

GCF of denominators i.e. for 732,464,231 is 1.

Thus, LCM of Fractions is 293328.Finally, LCM of Fractions for 27/732, 48/464, 679/231 is 293328.