Least Common Multiple of 39/59, 55/62, 54/58, 75/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/59, 55/62, 54/58, 75/198 quickly i.e. 193050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/59, 55/62, 54/58, 75/198 is 193050.

LCM(39/59, 55/62, 54/58, 75/198) = 193050

LCM of 39/59, 55/62, 54/58, 75/198

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 39/59,55/62,54/58,75/198

Given numbers are 39/59,55/62,54/58,75/198

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 39,55,54,75

Least Common Multiple of Numerators i.e. LCM of 39,55,54,75 is 193050.

GCF of Denominators means GCF of 59,62,58,198 as per the given fractions.

GCF of 59,62,58,198 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,55,54,75

LCM of Fractions 39/59,55/62,54/58,75/198 is 193050

3 39, 55, 54, 75
5 13, 55, 18, 25
13, 11, 18, 5

∴ So the LCM of the given numbers is 3 x 5 x 13 x 11 x 18 x 5 = 193050

Least Common Multiple of 39,55,54,75 with GCF Formula

Least Common Multiple of 39,55,54,75 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 39,55,54,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,55,54,75) = 1

common factors(in case of two or more numbers have common factors) = 45

GCF(39,55,54,75) x common factors =1 x 45 = 45

LCM(39,55,54,75) = ( 39 × 55 × 54 × 75 ) / 45

LCM(39,55,54,75) = 8687250 / 45

LCM(39,55,54,75) = 193050


Lets's calculate GCF of 59,62,58,198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193050/1

Therefore the LCM of Fractions 39/59,55/62,54/58,75/198 is 193050

Greatest Common Factor of 59,62,58,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,62,58,198 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 62

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

1,2,31,62

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 59,62,58,198 . The biggest common factor number is the GCF number.
So the greatest common factor 59,62,58,198 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 39/59, 55/62, 54/58, 75/198

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 39/59, 55/62, 54/58, 75/198?

Answer: LCM of Numerators as per given numbers 39/59, 55/62, 54/58, 75/198 is

LCM of Numerators i.e. for 39,55,54,75 is 193050

GCF of denominators i.e. for 59,62,58,198 is 1.

Thus, LCM of Fractions is 193050.Finally, LCM of Fractions for 39/59, 55/62, 54/58, 75/198 is 193050.