Least Common Multiple of 27/299, 86/936, 597/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/299, 86/936, 597/432 quickly i.e. 462078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/299, 86/936, 597/432 is 462078.

LCM(27/299, 86/936, 597/432) = 462078

LCM of 27/299, 86/936, 597/432

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 27/299,86/936,597/432

Given numbers are 27/299,86/936,597/432

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 27,86,597

Least Common Multiple of Numerators i.e. LCM of 27,86,597 is 462078.

GCF of Denominators means GCF of 299,936,432 as per the given fractions.

GCF of 299,936,432 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,86,597

LCM of Fractions 27/299,86/936,597/432 is 462078

3 27, 86, 597
9, 86, 199

∴ So the LCM of the given numbers is 3 x 9 x 86 x 199 = 462078

Least Common Multiple of 27,86,597 with GCF Formula

Least Common Multiple of 27,86,597 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 27,86,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,86,597) = 1

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

GCF(27,86,597) x common factors =1 x 3 = 3

LCM(27,86,597) = ( 27 × 86 × 597 ) / 3

LCM(27,86,597) = 1386234 / 3

LCM(27,86,597) = 462078


Lets's calculate GCF of 299,936,432

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 462078/1

Therefore the LCM of Fractions 27/299,86/936,597/432 is 462078

Greatest Common Factor of 299,936,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,936,432 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 299,936,432 . The biggest common factor number is the GCF number.
So the greatest common factor 299,936,432 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 27/299, 86/936, 597/432

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 27/299, 86/936, 597/432?

Answer: LCM of Numerators as per given numbers 27/299, 86/936, 597/432 is

LCM of Numerators i.e. for 27,86,597 is 462078

GCF of denominators i.e. for 299,936,432 is 1.

Thus, LCM of Fractions is 462078.Finally, LCM of Fractions for 27/299, 86/936, 597/432 is 462078.