Least Common Multiple of 97/38, 272/12, 319/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/38, 272/12, 319/104 quickly i.e. 4208248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/38, 272/12, 319/104 is 4208248.

LCM(97/38, 272/12, 319/104) = 4208248

LCM of 97/38, 272/12, 319/104

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 97/38,272/12,319/104

Given numbers are 97/38,272/12,319/104

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 97,272,319

Least Common Multiple of Numerators i.e. LCM of 97,272,319 is 8416496.

GCF of Denominators means GCF of 38,12,104 as per the given fractions.

GCF of 38,12,104 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,272,319

LCM of Fractions 97/38,272/12,319/104 is 4208248

Given numbers has no common factors except 1. So, there LCM is their product i.e 8416496

Least Common Multiple of 97,272,319 with GCF Formula

Least Common Multiple of 97,272,319 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 97,272,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,272,319) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(97,272,319) x common factors =1 x 1 = 1

LCM(97,272,319) = ( 97 × 272 × 319 ) / 1

LCM(97,272,319) = 8416496 / 1

LCM(97,272,319) = 8416496


Lets's calculate GCF of 38,12,104

2 38, 12, 104
19, 6, 52

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8416496/2

Therefore the LCM of Fractions 97/38,272/12,319/104 is 4208248

Greatest Common Factor of 38,12,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,12,104 By Matching Biggest Common Factor Method

Factors of 38

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

1,2,19,38

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 38,12,104 . The biggest common factor number is the GCF number.
So the greatest common factor 38,12,104 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 97/38, 272/12, 319/104

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 97/38, 272/12, 319/104?

Answer: LCM of Numerators as per given numbers 97/38, 272/12, 319/104 is

LCM of Numerators i.e. for 97,272,319 is 8416496

GCF of denominators i.e. for 38,12,104 is 2.

Thus, LCM of Fractions is 4208248.Finally, LCM of Fractions for 97/38, 272/12, 319/104 is 4208248.