Least Common Multiple of 38/366, 2246/9950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/366, 2246/9950 quickly i.e. 21337 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/366, 2246/9950 is 21337.

LCM(38/366, 2246/9950) = 21337

LCM of 38/366, 2246/9950

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 38/366,2246/9950

Given numbers are 38/366,2246/9950

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 38,2246

Least Common Multiple of Numerators i.e. LCM of 38,2246 is 42674.

GCF of Denominators means GCF of 366,9950 as per the given fractions.

GCF of 366,9950 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,2246

LCM of Fractions 38/366,2246/9950 is 21337

2 38, 2246
19, 1123

∴ So the LCM of the given numbers is 2 x 19 x 1123 = 42674

Least Common Multiple of 38,2246 with GCF Formula

Least Common Multiple of 38,2246 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 38,2246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,2246) = 2

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

GCF(38,2246) x common factors =2 x 1 = 2

LCM(38,2246) = ( 38 × 2246 ) / 2

LCM(38,2246) = 85348 / 2

LCM(38,2246) = 42674


Lets's calculate GCF of 366,9950

2 366, 9950
183, 4975

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42674/2

Therefore the LCM of Fractions 38/366,2246/9950 is 21337

Greatest Common Factor of 366,9950 By Matching Biggest Common Factor Method

Greatest Common Factor of 366,9950 By Matching Biggest Common Factor Method

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 9950

List of positive integer factors of 9950 that divides 9950 without a remainder.

1,2,5,10,25,50,199,398,995,1990,4975,9950

Greatest Common Factor

We found the factors 366,9950 . The biggest common factor number is the GCF number.
So the greatest common factor 366,9950 is 2.


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 38/366, 2246/9950

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 38/366, 2246/9950?

Answer: LCM of Numerators as per given numbers 38/366, 2246/9950 is

LCM of Numerators i.e. for 38,2246 is 42674

GCF of denominators i.e. for 366,9950 is 2.

Thus, LCM of Fractions is 21337.Finally, LCM of Fractions for 38/366, 2246/9950 is 21337.