Least Common Multiple of 53/69, 39/54, 166/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/69, 39/54, 166/75 quickly i.e. 114374 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/69, 39/54, 166/75 is 114374.

LCM(53/69, 39/54, 166/75) = 114374

LCM of 53/69, 39/54, 166/75

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 53/69,39/54,166/75

Given numbers are 53/69,39/54,166/75

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 53,39,166

Least Common Multiple of Numerators i.e. LCM of 53,39,166 is 343122.

GCF of Denominators means GCF of 69,54,75 as per the given fractions.

GCF of 69,54,75 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,39,166

LCM of Fractions 53/69,39/54,166/75 is 114374

Given numbers has no common factors except 1. So, there LCM is their product i.e 343122

Least Common Multiple of 53,39,166 with GCF Formula

Least Common Multiple of 53,39,166 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 53,39,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,39,166) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(53,39,166) x common factors =1 x 1 = 1

LCM(53,39,166) = ( 53 × 39 × 166 ) / 1

LCM(53,39,166) = 343122 / 1

LCM(53,39,166) = 343122


Lets's calculate GCF of 69,54,75

3 69, 54, 75
23, 18, 25

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 343122/3

Therefore the LCM of Fractions 53/69,39/54,166/75 is 114374

Greatest Common Factor of 69,54,75 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,54,75 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Greatest Common Factor

We found the factors 69,54,75 . The biggest common factor number is the GCF number.
So the greatest common factor 69,54,75 is 3.


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 53/69, 39/54, 166/75

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 53/69, 39/54, 166/75?

Answer: LCM of Numerators as per given numbers 53/69, 39/54, 166/75 is

LCM of Numerators i.e. for 53,39,166 is 343122

GCF of denominators i.e. for 69,54,75 is 3.

Thus, LCM of Fractions is 114374.Finally, LCM of Fractions for 53/69, 39/54, 166/75 is 114374.