Least Common Multiple of 38/945, 2002/1226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/945, 2002/1226 quickly i.e. 38038 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/945, 2002/1226 is 38038.

LCM(38/945, 2002/1226) = 38038

LCM of 38/945, 2002/1226

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 38/945,2002/1226

Given numbers are 38/945,2002/1226

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 38,2002

Least Common Multiple of Numerators i.e. LCM of 38,2002 is 38038.

GCF of Denominators means GCF of 945,1226 as per the given fractions.

GCF of 945,1226 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,2002

LCM of Fractions 38/945,2002/1226 is 38038

2 38, 2002
19, 1001

∴ So the LCM of the given numbers is 2 x 19 x 1001 = 38038

Least Common Multiple of 38,2002 with GCF Formula

Least Common Multiple of 38,2002 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 38,2002 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,2002) = 2

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

GCF(38,2002) x common factors =2 x 1 = 2

LCM(38,2002) = ( 38 × 2002 ) / 2

LCM(38,2002) = 76076 / 2

LCM(38,2002) = 38038


Lets's calculate GCF of 945,1226

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38038/1

Therefore the LCM of Fractions 38/945,2002/1226 is 38038

Greatest Common Factor of 945,1226 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,1226 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 1226

List of positive integer factors of 1226 that divides 1226 without a remainder.

1,2,613,1226

Greatest Common Factor

We found the factors 945,1226 . The biggest common factor number is the GCF number.
So the greatest common factor 945,1226 is 1.


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 38/945, 2002/1226

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 38/945, 2002/1226?

Answer: LCM of Numerators as per given numbers 38/945, 2002/1226 is

LCM of Numerators i.e. for 38,2002 is 38038

GCF of denominators i.e. for 945,1226 is 1.

Thus, LCM of Fractions is 38038.Finally, LCM of Fractions for 38/945, 2002/1226 is 38038.