Least Common Multiple of 59/363, 90/236, 144/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/363, 90/236, 144/738 quickly i.e. 42480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/363, 90/236, 144/738 is 42480.

LCM(59/363, 90/236, 144/738) = 42480

LCM of 59/363, 90/236, 144/738

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 59/363,90/236,144/738

Given numbers are 59/363,90/236,144/738

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 59,90,144

Least Common Multiple of Numerators i.e. LCM of 59,90,144 is 42480.

GCF of Denominators means GCF of 363,236,738 as per the given fractions.

GCF of 363,236,738 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,90,144

LCM of Fractions 59/363,90/236,144/738 is 42480

2 59, 90, 144
3 59, 45, 72
3 59, 15, 24
59, 5, 8

∴ So the LCM of the given numbers is 2 x 3 x 3 x 59 x 5 x 8 = 42480

Least Common Multiple of 59,90,144 with GCF Formula

Least Common Multiple of 59,90,144 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 59,90,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,90,144) = 1

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

GCF(59,90,144) x common factors =1 x 18 = 18

LCM(59,90,144) = ( 59 × 90 × 144 ) / 18

LCM(59,90,144) = 764640 / 18

LCM(59,90,144) = 42480


Lets's calculate GCF of 363,236,738

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42480/1

Therefore the LCM of Fractions 59/363,90/236,144/738 is 42480

Greatest Common Factor of 363,236,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,236,738 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 363,236,738 . The biggest common factor number is the GCF number.
So the greatest common factor 363,236,738 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 59/363, 90/236, 144/738

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 59/363, 90/236, 144/738?

Answer: LCM of Numerators as per given numbers 59/363, 90/236, 144/738 is

LCM of Numerators i.e. for 59,90,144 is 42480

GCF of denominators i.e. for 363,236,738 is 1.

Thus, LCM of Fractions is 42480.Finally, LCM of Fractions for 59/363, 90/236, 144/738 is 42480.