Least Common Multiple of 38/305, 3349/4938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 38/305, 3349/4938 quickly i.e. 127262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/305, 3349/4938 is 127262.

LCM(38/305, 3349/4938) = 127262

LCM of 38/305, 3349/4938

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 38/305,3349/4938

Given numbers are 38/305,3349/4938

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 38,3349

Least Common Multiple of Numerators i.e. LCM of 38,3349 is 127262.

GCF of Denominators means GCF of 305,4938 as per the given fractions.

GCF of 305,4938 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,3349

LCM of Fractions 38/305,3349/4938 is 127262

Given numbers has no common factors except 1. So, there LCM is their product i.e 127262

Least Common Multiple of 38,3349 with GCF Formula

Least Common Multiple of 38,3349 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 38,3349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,3349) = 1

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

GCF(38,3349) x common factors =1 x 1 = 1

LCM(38,3349) = ( 38 × 3349 ) / 1

LCM(38,3349) = 127262 / 1

LCM(38,3349) = 127262


Lets's calculate GCF of 305,4938

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127262/1

Therefore the LCM of Fractions 38/305,3349/4938 is 127262

Greatest Common Factor of 305,4938 By Matching Biggest Common Factor Method

Greatest Common Factor of 305,4938 By Matching Biggest Common Factor Method

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 4938

List of positive integer factors of 4938 that divides 4938 without a remainder.

1,2,3,6,823,1646,2469,4938

Greatest Common Factor

We found the factors 305,4938 . The biggest common factor number is the GCF number.
So the greatest common factor 305,4938 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 38/305, 3349/4938

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 38/305, 3349/4938?

Answer: LCM of Numerators as per given numbers 38/305, 3349/4938 is

LCM of Numerators i.e. for 38,3349 is 127262

GCF of denominators i.e. for 305,4938 is 1.

Thus, LCM of Fractions is 127262.Finally, LCM of Fractions for 38/305, 3349/4938 is 127262.