Least Common Multiple of 18/572, 45/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/572, 45/418 quickly i.e. 90/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/572, 45/418 is 90/22.

LCM(18/572, 45/418) = 90/22

LCM of 18/572, 45/418

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 18/572,45/418

Given numbers are 18/572,45/418

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 18,45

Least Common Multiple of Numerators i.e. LCM of 18,45 is 90.

GCF of Denominators means GCF of 572,418 as per the given fractions.

GCF of 572,418 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,45

LCM of Fractions 18/572,45/418 is 90/22

3 18, 45
3 6, 15
2, 5

∴ So the LCM of the given numbers is 3 x 3 x 2 x 5 = 90

Least Common Multiple of 18,45 with GCF Formula

Least Common Multiple of 18,45 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 18,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,45) = 9

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

GCF(18,45) x common factors =9 x 1 = 9

LCM(18,45) = ( 18 × 45 ) / 9

LCM(18,45) = 810 / 9

LCM(18,45) = 90


Lets's calculate GCF of 572,418

2 572, 418
11 286, 209
26, 19

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90/22

Therefore the LCM of Fractions 18/572,45/418 is 90/22

Greatest Common Factor of 572,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,418 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 572,418 . The biggest common factor number is the GCF number.
So the greatest common factor 572,418 is 22.


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 18/572, 45/418

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 18/572, 45/418?

Answer: LCM of Numerators as per given numbers 18/572, 45/418 is

LCM of Numerators i.e. for 18,45 is 90

GCF of denominators i.e. for 572,418 is 22.

Thus, LCM of Fractions is 90/22.Finally, LCM of Fractions for 18/572, 45/418 is 90/22.