Least Common Multiple of 48/19, 66/36, 36/86, 34/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/19, 66/36, 36/86, 34/189 quickly i.e. 26928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/19, 66/36, 36/86, 34/189 is 26928.

LCM(48/19, 66/36, 36/86, 34/189) = 26928

LCM of 48/19, 66/36, 36/86, 34/189

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 48/19,66/36,36/86,34/189

Given numbers are 48/19,66/36,36/86,34/189

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 48,66,36,34

Least Common Multiple of Numerators i.e. LCM of 48,66,36,34 is 26928.

GCF of Denominators means GCF of 19,36,86,189 as per the given fractions.

GCF of 19,36,86,189 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,66,36,34

LCM of Fractions 48/19,66/36,36/86,34/189 is 26928

2 48, 66, 36, 34
2 24, 33, 18, 17
3 12, 33, 9, 17
4, 11, 3, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 11 x 3 x 17 = 26928

Least Common Multiple of 48,66,36,34 with GCF Formula

Least Common Multiple of 48,66,36,34 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 48,66,36,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,66,36,34) = 2

common factors(in case of two or more numbers have common factors) = 72

GCF(48,66,36,34) x common factors =2 x 72 = 144

LCM(48,66,36,34) = ( 48 × 66 × 36 × 34 ) / 144

LCM(48,66,36,34) = 3877632 / 144

LCM(48,66,36,34) = 26928


Lets's calculate GCF of 19,36,86,189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26928/1

Therefore the LCM of Fractions 48/19,66/36,36/86,34/189 is 26928

Greatest Common Factor of 19,36,86,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,36,86,189 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 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 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 19,36,86,189 . The biggest common factor number is the GCF number.
So the greatest common factor 19,36,86,189 is 1.


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 48/19, 66/36, 36/86, 34/189

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 48/19, 66/36, 36/86, 34/189?

Answer: LCM of Numerators as per given numbers 48/19, 66/36, 36/86, 34/189 is

LCM of Numerators i.e. for 48,66,36,34 is 26928

GCF of denominators i.e. for 19,36,86,189 is 1.

Thus, LCM of Fractions is 26928.Finally, LCM of Fractions for 48/19, 66/36, 36/86, 34/189 is 26928.