Least Common Multiple of 3/34, 8/76, 9/70, 72/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/34, 8/76, 9/70, 72/189 quickly i.e. 72 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/34, 8/76, 9/70, 72/189 is 72.

LCM(3/34, 8/76, 9/70, 72/189) = 72

LCM of 3/34, 8/76, 9/70, 72/189

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 3/34,8/76,9/70,72/189

Given numbers are 3/34,8/76,9/70,72/189

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 3,8,9,72

Least Common Multiple of Numerators i.e. LCM of 3,8,9,72 is 72.

GCF of Denominators means GCF of 34,76,70,189 as per the given fractions.

GCF of 34,76,70,189 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,8,9,72

LCM of Fractions 3/34,8/76,9/70,72/189 is 72

2 3, 8, 9, 72
2 3, 4, 9, 36
2 3, 2, 9, 18
3 3, 1, 9, 9
3 1, 1, 3, 3
1, 1, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 1 x 1 x 1 = 72

Least Common Multiple of 3,8,9,72 with GCF Formula

Least Common Multiple of 3,8,9,72 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 3,8,9,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,8,9,72) = 1

common factors(in case of two or more numbers have common factors) = 216

GCF(3,8,9,72) x common factors =1 x 216 = 216

LCM(3,8,9,72) = ( 3 × 8 × 9 × 72 ) / 216

LCM(3,8,9,72) = 15552 / 216

LCM(3,8,9,72) = 72


Lets's calculate GCF of 34,76,70,189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72/1

Therefore the LCM of Fractions 3/34,8/76,9/70,72/189 is 72

Greatest Common Factor of 34,76,70,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,76,70,189 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

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 34,76,70,189 . The biggest common factor number is the GCF number.
So the greatest common factor 34,76,70,189 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 3/34, 8/76, 9/70, 72/189

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 3/34, 8/76, 9/70, 72/189?

Answer: LCM of Numerators as per given numbers 3/34, 8/76, 9/70, 72/189 is

LCM of Numerators i.e. for 3,8,9,72 is 72

GCF of denominators i.e. for 34,76,70,189 is 1.

Thus, LCM of Fractions is 72.Finally, LCM of Fractions for 3/34, 8/76, 9/70, 72/189 is 72.