Least Common Multiple of 38/64, 12/72, 98/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/64, 12/72, 98/116 quickly i.e. 2793 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/64, 12/72, 98/116 is 2793.

LCM(38/64, 12/72, 98/116) = 2793

LCM of 38/64, 12/72, 98/116

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 38/64,12/72,98/116

Given numbers are 38/64,12/72,98/116

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 38,12,98

Least Common Multiple of Numerators i.e. LCM of 38,12,98 is 11172.

GCF of Denominators means GCF of 64,72,116 as per the given fractions.

GCF of 64,72,116 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,12,98

LCM of Fractions 38/64,12/72,98/116 is 2793

2 38, 12, 98
19, 6, 49

∴ So the LCM of the given numbers is 2 x 19 x 6 x 49 = 11172

Least Common Multiple of 38,12,98 with GCF Formula

Least Common Multiple of 38,12,98 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 38,12,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,12,98) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(38,12,98) x common factors =2 x 2 = 4

LCM(38,12,98) = ( 38 × 12 × 98 ) / 4

LCM(38,12,98) = 44688 / 4

LCM(38,12,98) = 11172


Lets's calculate GCF of 64,72,116

2 64, 72, 116
2 32, 36, 58
16, 18, 29

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11172/4

Therefore the LCM of Fractions 38/64,12/72,98/116 is 2793

Greatest Common Factor of 64,72,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,72,116 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

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 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 64,72,116 . The biggest common factor number is the GCF number.
So the greatest common factor 64,72,116 is 4.


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 38/64, 12/72, 98/116

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 38/64, 12/72, 98/116?

Answer: LCM of Numerators as per given numbers 38/64, 12/72, 98/116 is

LCM of Numerators i.e. for 38,12,98 is 11172

GCF of denominators i.e. for 64,72,116 is 4.

Thus, LCM of Fractions is 2793.Finally, LCM of Fractions for 38/64, 12/72, 98/116 is 2793.