Least Common Multiple of 15/38, 775/36, 124/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/38, 775/36, 124/184 quickly i.e. 4650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/38, 775/36, 124/184 is 4650.

LCM(15/38, 775/36, 124/184) = 4650

LCM of 15/38, 775/36, 124/184

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 15/38,775/36,124/184

Given numbers are 15/38,775/36,124/184

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 15,775,124

Least Common Multiple of Numerators i.e. LCM of 15,775,124 is 9300.

GCF of Denominators means GCF of 38,36,184 as per the given fractions.

GCF of 38,36,184 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,775,124

LCM of Fractions 15/38,775/36,124/184 is 4650

5 15, 775, 124
31 3, 155, 124
3, 5, 4

∴ So the LCM of the given numbers is 5 x 31 x 3 x 5 x 4 = 9300

Least Common Multiple of 15,775,124 with GCF Formula

Least Common Multiple of 15,775,124 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 15,775,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,775,124) = 1

common factors(in case of two or more numbers have common factors) = 155

GCF(15,775,124) x common factors =1 x 155 = 155

LCM(15,775,124) = ( 15 × 775 × 124 ) / 155

LCM(15,775,124) = 1441500 / 155

LCM(15,775,124) = 9300


Lets's calculate GCF of 38,36,184

2 38, 36, 184
19, 18, 92

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9300/2

Therefore the LCM of Fractions 15/38,775/36,124/184 is 4650

Greatest Common Factor of 38,36,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,36,184 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 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Greatest Common Factor

We found the factors 38,36,184 . The biggest common factor number is the GCF number.
So the greatest common factor 38,36,184 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 15/38, 775/36, 124/184

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 15/38, 775/36, 124/184?

Answer: LCM of Numerators as per given numbers 15/38, 775/36, 124/184 is

LCM of Numerators i.e. for 15,775,124 is 9300

GCF of denominators i.e. for 38,36,184 is 2.

Thus, LCM of Fractions is 4650.Finally, LCM of Fractions for 15/38, 775/36, 124/184 is 4650.