Least Common Multiple of 59/18, 22/48, 417/24

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/18, 22/48, 417/24 quickly i.e. 90211 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/18, 22/48, 417/24 is 90211.

LCM(59/18, 22/48, 417/24) = 90211

LCM of 59/18, 22/48, 417/24

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 59/18,22/48,417/24

Given numbers are 59/18,22/48,417/24

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 59,22,417

Least Common Multiple of Numerators i.e. LCM of 59,22,417 is 541266.

GCF of Denominators means GCF of 18,48,24 as per the given fractions.

GCF of 18,48,24 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,22,417

LCM of Fractions 59/18,22/48,417/24 is 90211

Given numbers has no common factors except 1. So, there LCM is their product i.e 541266

Least Common Multiple of 59,22,417 with GCF Formula

Least Common Multiple of 59,22,417 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 59,22,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,22,417) = 1

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

GCF(59,22,417) x common factors =1 x 1 = 1

LCM(59,22,417) = ( 59 × 22 × 417 ) / 1

LCM(59,22,417) = 541266 / 1

LCM(59,22,417) = 541266


Lets's calculate GCF of 18,48,24

2 18, 48, 24
3 9, 24, 12
3, 8, 4

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 541266/6

Therefore the LCM of Fractions 59/18,22/48,417/24 is 90211

Greatest Common Factor of 18,48,24 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,48,24 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Greatest Common Factor

We found the factors 18,48,24 . The biggest common factor number is the GCF number.
So the greatest common factor 18,48,24 is 6.


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 59/18, 22/48, 417/24

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 59/18, 22/48, 417/24?

Answer: LCM of Numerators as per given numbers 59/18, 22/48, 417/24 is

LCM of Numerators i.e. for 59,22,417 is 541266

GCF of denominators i.e. for 18,48,24 is 6.

Thus, LCM of Fractions is 90211.Finally, LCM of Fractions for 59/18, 22/48, 417/24 is 90211.