Least Common Multiple of 18/450, 186/698, 565/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/450, 186/698, 565/446 quickly i.e. 157635 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/450, 186/698, 565/446 is 157635.

LCM(18/450, 186/698, 565/446) = 157635

LCM of 18/450, 186/698, 565/446

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 18/450,186/698,565/446

Given numbers are 18/450,186/698,565/446

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 18,186,565

Least Common Multiple of Numerators i.e. LCM of 18,186,565 is 315270.

GCF of Denominators means GCF of 450,698,446 as per the given fractions.

GCF of 450,698,446 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,186,565

LCM of Fractions 18/450,186/698,565/446 is 157635

2 18, 186, 565
3 9, 93, 565
3, 31, 565

∴ So the LCM of the given numbers is 2 x 3 x 3 x 31 x 565 = 315270

Least Common Multiple of 18,186,565 with GCF Formula

Least Common Multiple of 18,186,565 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 18,186,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,186,565) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(18,186,565) x common factors =1 x 6 = 6

LCM(18,186,565) = ( 18 × 186 × 565 ) / 6

LCM(18,186,565) = 1891620 / 6

LCM(18,186,565) = 315270


Lets's calculate GCF of 450,698,446

2 450, 698, 446
225, 349, 223

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 315270/2

Therefore the LCM of Fractions 18/450,186/698,565/446 is 157635

Greatest Common Factor of 450,698,446 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,698,446 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Greatest Common Factor

We found the factors 450,698,446 . The biggest common factor number is the GCF number.
So the greatest common factor 450,698,446 is 2.


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 18/450, 186/698, 565/446

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 18/450, 186/698, 565/446?

Answer: LCM of Numerators as per given numbers 18/450, 186/698, 565/446 is

LCM of Numerators i.e. for 18,186,565 is 315270

GCF of denominators i.e. for 450,698,446 is 2.

Thus, LCM of Fractions is 157635.Finally, LCM of Fractions for 18/450, 186/698, 565/446 is 157635.