Least Common Multiple of 9/38, 31/296, 49/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/38, 31/296, 49/365 quickly i.e. 13671 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/38, 31/296, 49/365 is 13671.

LCM(9/38, 31/296, 49/365) = 13671

LCM of 9/38, 31/296, 49/365

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 9/38,31/296,49/365

Given numbers are 9/38,31/296,49/365

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 9,31,49

Least Common Multiple of Numerators i.e. LCM of 9,31,49 is 13671.

GCF of Denominators means GCF of 38,296,365 as per the given fractions.

GCF of 38,296,365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,31,49

LCM of Fractions 9/38,31/296,49/365 is 13671

Given numbers has no common factors except 1. So, there LCM is their product i.e 13671

Least Common Multiple of 9,31,49 with GCF Formula

Least Common Multiple of 9,31,49 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 9,31,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,31,49) = 1

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

GCF(9,31,49) x common factors =1 x 1 = 1

LCM(9,31,49) = ( 9 × 31 × 49 ) / 1

LCM(9,31,49) = 13671 / 1

LCM(9,31,49) = 13671


Lets's calculate GCF of 38,296,365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13671/1

Therefore the LCM of Fractions 9/38,31/296,49/365 is 13671

Greatest Common Factor of 38,296,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,296,365 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 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 38,296,365 . The biggest common factor number is the GCF number.
So the greatest common factor 38,296,365 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 9/38, 31/296, 49/365

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 9/38, 31/296, 49/365?

Answer: LCM of Numerators as per given numbers 9/38, 31/296, 49/365 is

LCM of Numerators i.e. for 9,31,49 is 13671

GCF of denominators i.e. for 38,296,365 is 1.

Thus, LCM of Fractions is 13671.Finally, LCM of Fractions for 9/38, 31/296, 49/365 is 13671.