Least Common Multiple of 317/16, 749/3728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 317/16, 749/3728 quickly i.e. 237433/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 317/16, 749/3728 is 237433/16.

LCM(317/16, 749/3728) = 237433/16

LCM of 317/16, 749/3728

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 317/16,749/3728

Given numbers are 317/16,749/3728

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 317,749

Least Common Multiple of Numerators i.e. LCM of 317,749 is 237433.

GCF of Denominators means GCF of 16,3728 as per the given fractions.

GCF of 16,3728 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 317,749

LCM of Fractions 317/16,749/3728 is 237433/16

Given numbers has no common factors except 1. So, there LCM is their product i.e 237433

Least Common Multiple of 317,749 with GCF Formula

Least Common Multiple of 317,749 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 317,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,749) = 1

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

GCF(317,749) x common factors =1 x 1 = 1

LCM(317,749) = ( 317 × 749 ) / 1

LCM(317,749) = 237433 / 1

LCM(317,749) = 237433


Lets's calculate GCF of 16,3728

2 16, 3728
2 8, 1864
2 4, 932
2 2, 466
1, 233

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 237433/16

Therefore the LCM of Fractions 317/16,749/3728 is 237433/16

Greatest Common Factor of 16,3728 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,3728 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 3728

List of positive integer factors of 3728 that divides 3728 without a remainder.

1,2,4,8,16,233,466,932,1864,3728

Greatest Common Factor

We found the factors 16,3728 . The biggest common factor number is the GCF number.
So the greatest common factor 16,3728 is 16.


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 317/16, 749/3728

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 317/16, 749/3728?

Answer: LCM of Numerators as per given numbers 317/16, 749/3728 is

LCM of Numerators i.e. for 317,749 is 237433

GCF of denominators i.e. for 16,3728 is 16.

Thus, LCM of Fractions is 237433/16.Finally, LCM of Fractions for 317/16, 749/3728 is 237433/16.