Least Common Multiple of 27/708, 31/746, 654/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/708, 31/746, 654/759 quickly i.e. 182466 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/708, 31/746, 654/759 is 182466.

LCM(27/708, 31/746, 654/759) = 182466

LCM of 27/708, 31/746, 654/759

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 27/708,31/746,654/759

Given numbers are 27/708,31/746,654/759

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 27,31,654

Least Common Multiple of Numerators i.e. LCM of 27,31,654 is 182466.

GCF of Denominators means GCF of 708,746,759 as per the given fractions.

GCF of 708,746,759 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,31,654

LCM of Fractions 27/708,31/746,654/759 is 182466

3 27, 31, 654
9, 31, 218

∴ So the LCM of the given numbers is 3 x 9 x 31 x 218 = 182466

Least Common Multiple of 27,31,654 with GCF Formula

Least Common Multiple of 27,31,654 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 27,31,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,31,654) = 1

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

GCF(27,31,654) x common factors =1 x 3 = 3

LCM(27,31,654) = ( 27 × 31 × 654 ) / 3

LCM(27,31,654) = 547398 / 3

LCM(27,31,654) = 182466


Lets's calculate GCF of 708,746,759

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182466/1

Therefore the LCM of Fractions 27/708,31/746,654/759 is 182466

Greatest Common Factor of 708,746,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,746,759 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 746

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

1,2,373,746

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 708,746,759 . The biggest common factor number is the GCF number.
So the greatest common factor 708,746,759 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 27/708, 31/746, 654/759

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 27/708, 31/746, 654/759?

Answer: LCM of Numerators as per given numbers 27/708, 31/746, 654/759 is

LCM of Numerators i.e. for 27,31,654 is 182466

GCF of denominators i.e. for 708,746,759 is 1.

Thus, LCM of Fractions is 182466.Finally, LCM of Fractions for 27/708, 31/746, 654/759 is 182466.