Least Common Multiple of 48/72, 68/54, 301/38

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/72, 68/54, 301/38 quickly i.e. 122808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/72, 68/54, 301/38 is 122808.

LCM(48/72, 68/54, 301/38) = 122808

LCM of 48/72, 68/54, 301/38

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 48/72,68/54,301/38

Given numbers are 48/72,68/54,301/38

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 48,68,301

Least Common Multiple of Numerators i.e. LCM of 48,68,301 is 245616.

GCF of Denominators means GCF of 72,54,38 as per the given fractions.

GCF of 72,54,38 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,68,301

LCM of Fractions 48/72,68/54,301/38 is 122808

2 48, 68, 301
2 24, 34, 301
12, 17, 301

∴ So the LCM of the given numbers is 2 x 2 x 12 x 17 x 301 = 245616

Least Common Multiple of 48,68,301 with GCF Formula

Least Common Multiple of 48,68,301 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 48,68,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,68,301) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(48,68,301) x common factors =1 x 4 = 4

LCM(48,68,301) = ( 48 × 68 × 301 ) / 4

LCM(48,68,301) = 982464 / 4

LCM(48,68,301) = 245616


Lets's calculate GCF of 72,54,38

2 72, 54, 38
36, 27, 19

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245616/2

Therefore the LCM of Fractions 48/72,68/54,301/38 is 122808

Greatest Common Factor of 72,54,38 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,54,38 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Greatest Common Factor

We found the factors 72,54,38 . The biggest common factor number is the GCF number.
So the greatest common factor 72,54,38 is 2.


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 48/72, 68/54, 301/38

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 48/72, 68/54, 301/38?

Answer: LCM of Numerators as per given numbers 48/72, 68/54, 301/38 is

LCM of Numerators i.e. for 48,68,301 is 245616

GCF of denominators i.e. for 72,54,38 is 2.

Thus, LCM of Fractions is 122808.Finally, LCM of Fractions for 48/72, 68/54, 301/38 is 122808.