Least Common Multiple of 3748/38, 8903/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3748/38, 8903/728 quickly i.e. 16684222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3748/38, 8903/728 is 16684222.

LCM(3748/38, 8903/728) = 16684222

LCM of 3748/38, 8903/728

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 3748/38,8903/728

Given numbers are 3748/38,8903/728

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 3748,8903

Least Common Multiple of Numerators i.e. LCM of 3748,8903 is 33368444.

GCF of Denominators means GCF of 38,728 as per the given fractions.

GCF of 38,728 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3748,8903

LCM of Fractions 3748/38,8903/728 is 16684222

Given numbers has no common factors except 1. So, there LCM is their product i.e 33368444

Least Common Multiple of 3748,8903 with GCF Formula

Least Common Multiple of 3748,8903 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 3748,8903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3748,8903) = 1

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

GCF(3748,8903) x common factors =1 x 1 = 1

LCM(3748,8903) = ( 3748 × 8903 ) / 1

LCM(3748,8903) = 33368444 / 1

LCM(3748,8903) = 33368444


Lets's calculate GCF of 38,728

2 38, 728
19, 364

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33368444/2

Therefore the LCM of Fractions 3748/38,8903/728 is 16684222

Greatest Common Factor of 38,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,728 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 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 38,728 . The biggest common factor number is the GCF number.
So the greatest common factor 38,728 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3748/38, 8903/728

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 3748/38, 8903/728?

Answer: LCM of Numerators as per given numbers 3748/38, 8903/728 is

LCM of Numerators i.e. for 3748,8903 is 33368444

GCF of denominators i.e. for 38,728 is 2.

Thus, LCM of Fractions is 16684222.Finally, LCM of Fractions for 3748/38, 8903/728 is 16684222.