Least Common Multiple of 38/15, 64/56, 96/41, 78/29

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/15, 64/56, 96/41, 78/29 quickly i.e. 47424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/15, 64/56, 96/41, 78/29 is 47424.

LCM(38/15, 64/56, 96/41, 78/29) = 47424

LCM of 38/15, 64/56, 96/41, 78/29

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 38/15,64/56,96/41,78/29

Given numbers are 38/15,64/56,96/41,78/29

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 38,64,96,78

Least Common Multiple of Numerators i.e. LCM of 38,64,96,78 is 47424.

GCF of Denominators means GCF of 15,56,41,29 as per the given fractions.

GCF of 15,56,41,29 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,64,96,78

LCM of Fractions 38/15,64/56,96/41,78/29 is 47424

2 38, 64, 96, 78
2 19, 32, 48, 39
2 19, 16, 24, 39
2 19, 8, 12, 39
2 19, 4, 6, 39
3 19, 2, 3, 39
19, 2, 1, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 19 x 2 x 1 x 13 = 47424

Least Common Multiple of 38,64,96,78 with GCF Formula

Least Common Multiple of 38,64,96,78 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 38,64,96,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,64,96,78) = 2

common factors(in case of two or more numbers have common factors) = 192

GCF(38,64,96,78) x common factors =2 x 192 = 384

LCM(38,64,96,78) = ( 38 × 64 × 96 × 78 ) / 384

LCM(38,64,96,78) = 18210816 / 384

LCM(38,64,96,78) = 47424


Lets's calculate GCF of 15,56,41,29

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47424/1

Therefore the LCM of Fractions 38/15,64/56,96/41,78/29 is 47424

Greatest Common Factor of 15,56,41,29 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,56,41,29 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Greatest Common Factor

We found the factors 15,56,41,29 . The biggest common factor number is the GCF number.
So the greatest common factor 15,56,41,29 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 38/15, 64/56, 96/41, 78/29

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 38/15, 64/56, 96/41, 78/29?

Answer: LCM of Numerators as per given numbers 38/15, 64/56, 96/41, 78/29 is

LCM of Numerators i.e. for 38,64,96,78 is 47424

GCF of denominators i.e. for 15,56,41,29 is 1.

Thus, LCM of Fractions is 47424.Finally, LCM of Fractions for 38/15, 64/56, 96/41, 78/29 is 47424.