Least Common Multiple of 52/427, 24/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 52/427, 24/184 quickly i.e. 312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/427, 24/184 is 312.

LCM(52/427, 24/184) = 312

LCM of 52/427, 24/184

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 52/427,24/184

Given numbers are 52/427,24/184

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 52,24

Least Common Multiple of Numerators i.e. LCM of 52,24 is 312.

GCF of Denominators means GCF of 427,184 as per the given fractions.

GCF of 427,184 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,24

LCM of Fractions 52/427,24/184 is 312

2 52, 24
2 26, 12
13, 6

∴ So the LCM of the given numbers is 2 x 2 x 13 x 6 = 312

Least Common Multiple of 52,24 with GCF Formula

Least Common Multiple of 52,24 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 52,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,24) = 4

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

GCF(52,24) x common factors =4 x 1 = 4

LCM(52,24) = ( 52 × 24 ) / 4

LCM(52,24) = 1248 / 4

LCM(52,24) = 312


Lets's calculate GCF of 427,184

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 312/1

Therefore the LCM of Fractions 52/427,24/184 is 312

Greatest Common Factor of 427,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 427,184 By Matching Biggest Common Factor Method

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

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 427,184 . The biggest common factor number is the GCF number.
So the greatest common factor 427,184 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 52/427, 24/184

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 52/427, 24/184?

Answer: LCM of Numerators as per given numbers 52/427, 24/184 is

LCM of Numerators i.e. for 52,24 is 312

GCF of denominators i.e. for 427,184 is 1.

Thus, LCM of Fractions is 312.Finally, LCM of Fractions for 52/427, 24/184 is 312.