Least Common Multiple of 9/34, 54/914, 30/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/34, 54/914, 30/166 quickly i.e. 135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/34, 54/914, 30/166 is 135.

LCM(9/34, 54/914, 30/166) = 135

LCM of 9/34, 54/914, 30/166

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 9/34,54/914,30/166

Given numbers are 9/34,54/914,30/166

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 9,54,30

Least Common Multiple of Numerators i.e. LCM of 9,54,30 is 270.

GCF of Denominators means GCF of 34,914,166 as per the given fractions.

GCF of 34,914,166 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,54,30

LCM of Fractions 9/34,54/914,30/166 is 135

2 9, 54, 30
3 9, 27, 15
3 3, 9, 5
1, 3, 5

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 3 x 5 = 270

Least Common Multiple of 9,54,30 with GCF Formula

Least Common Multiple of 9,54,30 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 9,54,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,54,30) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(9,54,30) x common factors =3 x 18 = 54

LCM(9,54,30) = ( 9 × 54 × 30 ) / 54

LCM(9,54,30) = 14580 / 54

LCM(9,54,30) = 270


Lets's calculate GCF of 34,914,166

2 34, 914, 166
17, 457, 83

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270/2

Therefore the LCM of Fractions 9/34,54/914,30/166 is 135

Greatest Common Factor of 34,914,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,914,166 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 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 34,914,166 . The biggest common factor number is the GCF number.
So the greatest common factor 34,914,166 is 2.


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 9/34, 54/914, 30/166

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 9/34, 54/914, 30/166?

Answer: LCM of Numerators as per given numbers 9/34, 54/914, 30/166 is

LCM of Numerators i.e. for 9,54,30 is 270

GCF of denominators i.e. for 34,914,166 is 2.

Thus, LCM of Fractions is 135.Finally, LCM of Fractions for 9/34, 54/914, 30/166 is 135.