Least Common Multiple of 38/612, 184/88, 122/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/612, 184/88, 122/168 quickly i.e. 53314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/612, 184/88, 122/168 is 53314.

LCM(38/612, 184/88, 122/168) = 53314

LCM of 38/612, 184/88, 122/168

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 38/612,184/88,122/168

Given numbers are 38/612,184/88,122/168

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 38,184,122

Least Common Multiple of Numerators i.e. LCM of 38,184,122 is 213256.

GCF of Denominators means GCF of 612,88,168 as per the given fractions.

GCF of 612,88,168 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,184,122

LCM of Fractions 38/612,184/88,122/168 is 53314

2 38, 184, 122
19, 92, 61

∴ So the LCM of the given numbers is 2 x 19 x 92 x 61 = 213256

Least Common Multiple of 38,184,122 with GCF Formula

Least Common Multiple of 38,184,122 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 38,184,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,184,122) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(38,184,122) x common factors =2 x 2 = 4

LCM(38,184,122) = ( 38 × 184 × 122 ) / 4

LCM(38,184,122) = 853024 / 4

LCM(38,184,122) = 213256


Lets's calculate GCF of 612,88,168

2 612, 88, 168
2 306, 44, 84
153, 22, 42

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213256/4

Therefore the LCM of Fractions 38/612,184/88,122/168 is 53314

Greatest Common Factor of 612,88,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,88,168 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 612,88,168 . The biggest common factor number is the GCF number.
So the greatest common factor 612,88,168 is 4.


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 38/612, 184/88, 122/168

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 38/612, 184/88, 122/168?

Answer: LCM of Numerators as per given numbers 38/612, 184/88, 122/168 is

LCM of Numerators i.e. for 38,184,122 is 213256

GCF of denominators i.e. for 612,88,168 is 4.

Thus, LCM of Fractions is 53314.Finally, LCM of Fractions for 38/612, 184/88, 122/168 is 53314.