Least Common Multiple of 38/301, 1368/3398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 38/301, 1368/3398 quickly i.e. 1368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/301, 1368/3398 is 1368.

LCM(38/301, 1368/3398) = 1368

LCM of 38/301, 1368/3398

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 38/301,1368/3398

Given numbers are 38/301,1368/3398

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 38,1368

Least Common Multiple of Numerators i.e. LCM of 38,1368 is 1368.

GCF of Denominators means GCF of 301,3398 as per the given fractions.

GCF of 301,3398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,1368

LCM of Fractions 38/301,1368/3398 is 1368

2 38, 1368
19 19, 684
1, 36

∴ So the LCM of the given numbers is 2 x 19 x 1 x 36 = 1368

Least Common Multiple of 38,1368 with GCF Formula

Least Common Multiple of 38,1368 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 38,1368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,1368) = 38

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

GCF(38,1368) x common factors =38 x 1 = 38

LCM(38,1368) = ( 38 × 1368 ) / 38

LCM(38,1368) = 51984 / 38

LCM(38,1368) = 1368


Lets's calculate GCF of 301,3398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1368/1

Therefore the LCM of Fractions 38/301,1368/3398 is 1368

Greatest Common Factor of 301,3398 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,3398 By Matching Biggest Common Factor Method

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 3398

List of positive integer factors of 3398 that divides 3398 without a remainder.

1,2,1699,3398

Greatest Common Factor

We found the factors 301,3398 . The biggest common factor number is the GCF number.
So the greatest common factor 301,3398 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 38/301, 1368/3398

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 38/301, 1368/3398?

Answer: LCM of Numerators as per given numbers 38/301, 1368/3398 is

LCM of Numerators i.e. for 38,1368 is 1368

GCF of denominators i.e. for 301,3398 is 1.

Thus, LCM of Fractions is 1368.Finally, LCM of Fractions for 38/301, 1368/3398 is 1368.