Least Common Multiple of 462/38, 122/9388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 462/38, 122/9388 quickly i.e. 14091 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 462/38, 122/9388 is 14091.

LCM(462/38, 122/9388) = 14091

LCM of 462/38, 122/9388

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 462/38,122/9388

Given numbers are 462/38,122/9388

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 462,122

Least Common Multiple of Numerators i.e. LCM of 462,122 is 28182.

GCF of Denominators means GCF of 38,9388 as per the given fractions.

GCF of 38,9388 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 462,122

LCM of Fractions 462/38,122/9388 is 14091

2 462, 122
231, 61

∴ So the LCM of the given numbers is 2 x 231 x 61 = 28182

Least Common Multiple of 462,122 with GCF Formula

Least Common Multiple of 462,122 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 462,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,122) = 2

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

GCF(462,122) x common factors =2 x 1 = 2

LCM(462,122) = ( 462 × 122 ) / 2

LCM(462,122) = 56364 / 2

LCM(462,122) = 28182


Lets's calculate GCF of 38,9388

2 38, 9388
19, 4694

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28182/2

Therefore the LCM of Fractions 462/38,122/9388 is 14091

Greatest Common Factor of 38,9388 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,9388 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 9388

List of positive integer factors of 9388 that divides 9388 without a remainder.

1,2,4,2347,4694,9388

Greatest Common Factor

We found the factors 38,9388 . The biggest common factor number is the GCF number.
So the greatest common factor 38,9388 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 462/38, 122/9388

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 462/38, 122/9388?

Answer: LCM of Numerators as per given numbers 462/38, 122/9388 is

LCM of Numerators i.e. for 462,122 is 28182

GCF of denominators i.e. for 38,9388 is 2.

Thus, LCM of Fractions is 14091.Finally, LCM of Fractions for 462/38, 122/9388 is 14091.