Least Common Multiple of 19/33, 38/62, 95/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 19/33, 38/62, 95/184 quickly i.e. 190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/33, 38/62, 95/184 is 190.

LCM(19/33, 38/62, 95/184) = 190

LCM of 19/33, 38/62, 95/184

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 19/33,38/62,95/184

Given numbers are 19/33,38/62,95/184

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 19,38,95

Least Common Multiple of Numerators i.e. LCM of 19,38,95 is 190.

GCF of Denominators means GCF of 33,62,184 as per the given fractions.

GCF of 33,62,184 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,38,95

LCM of Fractions 19/33,38/62,95/184 is 190

19 19, 38, 95
1, 2, 5

∴ So the LCM of the given numbers is 19 x 1 x 2 x 5 = 190

Least Common Multiple of 19,38,95 with GCF Formula

Least Common Multiple of 19,38,95 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 19,38,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,38,95) = 19

common factors(in case of two or more numbers have common factors) = 19

GCF(19,38,95) x common factors =19 x 19 = 361

LCM(19,38,95) = ( 19 × 38 × 95 ) / 361

LCM(19,38,95) = 68590 / 361

LCM(19,38,95) = 190


Lets's calculate GCF of 33,62,184

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190/1

Therefore the LCM of Fractions 19/33,38/62,95/184 is 190

Greatest Common Factor of 33,62,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,62,184 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

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 33,62,184 . The biggest common factor number is the GCF number.
So the greatest common factor 33,62,184 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 19/33, 38/62, 95/184

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 19/33, 38/62, 95/184?

Answer: LCM of Numerators as per given numbers 19/33, 38/62, 95/184 is

LCM of Numerators i.e. for 19,38,95 is 190

GCF of denominators i.e. for 33,62,184 is 1.

Thus, LCM of Fractions is 190.Finally, LCM of Fractions for 19/33, 38/62, 95/184 is 190.