Least Common Multiple of 52/19, 48/10, 12/59, 188/44

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 52/19, 48/10, 12/59, 188/44 quickly i.e. 29328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/19, 48/10, 12/59, 188/44 is 29328.

LCM(52/19, 48/10, 12/59, 188/44) = 29328

LCM of 52/19, 48/10, 12/59, 188/44

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 52/19,48/10,12/59,188/44

Given numbers are 52/19,48/10,12/59,188/44

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 52,48,12,188

Least Common Multiple of Numerators i.e. LCM of 52,48,12,188 is 29328.

GCF of Denominators means GCF of 19,10,59,44 as per the given fractions.

GCF of 19,10,59,44 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,48,12,188

LCM of Fractions 52/19,48/10,12/59,188/44 is 29328

2 52, 48, 12, 188
2 26, 24, 6, 94
3 13, 12, 3, 47
13, 4, 1, 47

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 4 x 1 x 47 = 29328

Least Common Multiple of 52,48,12,188 with GCF Formula

Least Common Multiple of 52,48,12,188 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 52,48,12,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,48,12,188) = 4

common factors(in case of two or more numbers have common factors) = 48

GCF(52,48,12,188) x common factors =4 x 48 = 192

LCM(52,48,12,188) = ( 52 × 48 × 12 × 188 ) / 192

LCM(52,48,12,188) = 5630976 / 192

LCM(52,48,12,188) = 29328


Lets's calculate GCF of 19,10,59,44

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29328/1

Therefore the LCM of Fractions 52/19,48/10,12/59,188/44 is 29328

Greatest Common Factor of 19,10,59,44 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,10,59,44 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Greatest Common Factor

We found the factors 19,10,59,44 . The biggest common factor number is the GCF number.
So the greatest common factor 19,10,59,44 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 52/19, 48/10, 12/59, 188/44

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 52/19, 48/10, 12/59, 188/44?

Answer: LCM of Numerators as per given numbers 52/19, 48/10, 12/59, 188/44 is

LCM of Numerators i.e. for 52,48,12,188 is 29328

GCF of denominators i.e. for 19,10,59,44 is 1.

Thus, LCM of Fractions is 29328.Finally, LCM of Fractions for 52/19, 48/10, 12/59, 188/44 is 29328.