Least Common Multiple of 394/54, 122/9156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 394/54, 122/9156 quickly i.e. 24034/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 394/54, 122/9156 is 24034/6.

LCM(394/54, 122/9156) = 24034/6

LCM of 394/54, 122/9156

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 394/54,122/9156

Given numbers are 394/54,122/9156

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 394,122

Least Common Multiple of Numerators i.e. LCM of 394,122 is 24034.

GCF of Denominators means GCF of 54,9156 as per the given fractions.

GCF of 54,9156 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 394,122

LCM of Fractions 394/54,122/9156 is 24034/6

2 394, 122
197, 61

∴ So the LCM of the given numbers is 2 x 197 x 61 = 24034

Least Common Multiple of 394,122 with GCF Formula

Least Common Multiple of 394,122 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 394,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(394,122) = 2

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

GCF(394,122) x common factors =2 x 1 = 2

LCM(394,122) = ( 394 × 122 ) / 2

LCM(394,122) = 48068 / 2

LCM(394,122) = 24034


Lets's calculate GCF of 54,9156

2 54, 9156
3 27, 4578
9, 1526

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24034/6

Therefore the LCM of Fractions 394/54,122/9156 is 24034/6

Greatest Common Factor of 54,9156 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,9156 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 9156

List of positive integer factors of 9156 that divides 9156 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,109,218,327,436,654,763,1308,1526,2289,3052,4578,9156

Greatest Common Factor

We found the factors 54,9156 . The biggest common factor number is the GCF number.
So the greatest common factor 54,9156 is 6.


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 394/54, 122/9156

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 394/54, 122/9156?

Answer: LCM of Numerators as per given numbers 394/54, 122/9156 is

LCM of Numerators i.e. for 394,122 is 24034

GCF of denominators i.e. for 54,9156 is 6.

Thus, LCM of Fractions is 24034/6.Finally, LCM of Fractions for 394/54, 122/9156 is 24034/6.