Least Common Multiple of 336/27, 247/24, 749/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 336/27, 247/24, 749/75 quickly i.e. 2960048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 336/27, 247/24, 749/75 is 2960048.

LCM(336/27, 247/24, 749/75) = 2960048

LCM of 336/27, 247/24, 749/75

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 336/27,247/24,749/75

Given numbers are 336/27,247/24,749/75

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 336,247,749

Least Common Multiple of Numerators i.e. LCM of 336,247,749 is 8880144.

GCF of Denominators means GCF of 27,24,75 as per the given fractions.

GCF of 27,24,75 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 336,247,749

LCM of Fractions 336/27,247/24,749/75 is 2960048

7 336, 247, 749
48, 247, 107

∴ So the LCM of the given numbers is 7 x 48 x 247 x 107 = 8880144

Least Common Multiple of 336,247,749 with GCF Formula

Least Common Multiple of 336,247,749 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 336,247,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,247,749) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(336,247,749) x common factors =1 x 7 = 7

LCM(336,247,749) = ( 336 × 247 × 749 ) / 7

LCM(336,247,749) = 62161008 / 7

LCM(336,247,749) = 8880144


Lets's calculate GCF of 27,24,75

3 27, 24, 75
9, 8, 25

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8880144/3

Therefore the LCM of Fractions 336/27,247/24,749/75 is 2960048

Greatest Common Factor of 27,24,75 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,24,75 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Greatest Common Factor

We found the factors 27,24,75 . The biggest common factor number is the GCF number.
So the greatest common factor 27,24,75 is 3.


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 336/27, 247/24, 749/75

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 336/27, 247/24, 749/75?

Answer: LCM of Numerators as per given numbers 336/27, 247/24, 749/75 is

LCM of Numerators i.e. for 336,247,749 is 8880144

GCF of denominators i.e. for 27,24,75 is 3.

Thus, LCM of Fractions is 2960048.Finally, LCM of Fractions for 336/27, 247/24, 749/75 is 2960048.