Least Common Multiple of 7397/380, 3178/9728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7397/380, 3178/9728 quickly i.e. 23507666/76 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7397/380, 3178/9728 is 23507666/76.

LCM(7397/380, 3178/9728) = 23507666/76

LCM of 7397/380, 3178/9728

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 7397/380,3178/9728

Given numbers are 7397/380,3178/9728

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 7397,3178

Least Common Multiple of Numerators i.e. LCM of 7397,3178 is 23507666.

GCF of Denominators means GCF of 380,9728 as per the given fractions.

GCF of 380,9728 is 76 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7397,3178

LCM of Fractions 7397/380,3178/9728 is 23507666/76

Given numbers has no common factors except 1. So, there LCM is their product i.e 23507666

Least Common Multiple of 7397,3178 with GCF Formula

Least Common Multiple of 7397,3178 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 7397,3178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7397,3178) = 1

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

GCF(7397,3178) x common factors =1 x 1 = 1

LCM(7397,3178) = ( 7397 × 3178 ) / 1

LCM(7397,3178) = 23507666 / 1

LCM(7397,3178) = 23507666


Lets's calculate GCF of 380,9728

2 380, 9728
2 190, 4864
19 95, 2432
5, 128

∴ So the GCF of the given numbers is 2 x 2 x 19 = 76

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23507666/76

Therefore the LCM of Fractions 7397/380,3178/9728 is 23507666/76

Greatest Common Factor of 380,9728 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,9728 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 9728

List of positive integer factors of 9728 that divides 9728 without a remainder.

1,2,4,8,16,19,32,38,64,76,128,152,256,304,512,608,1216,2432,4864,9728

Greatest Common Factor

We found the factors 380,9728 . The biggest common factor number is the GCF number.
So the greatest common factor 380,9728 is 76.


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 7397/380, 3178/9728

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 7397/380, 3178/9728?

Answer: LCM of Numerators as per given numbers 7397/380, 3178/9728 is

LCM of Numerators i.e. for 7397,3178 is 23507666

GCF of denominators i.e. for 380,9728 is 76.

Thus, LCM of Fractions is 23507666/76.Finally, LCM of Fractions for 7397/380, 3178/9728 is 23507666/76.