Least Common Multiple of 459/35, 306/18, 390/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 459/35, 306/18, 390/372 quickly i.e. 59670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 459/35, 306/18, 390/372 is 59670.

LCM(459/35, 306/18, 390/372) = 59670

LCM of 459/35, 306/18, 390/372

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 459/35,306/18,390/372

Given numbers are 459/35,306/18,390/372

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 459,306,390

Least Common Multiple of Numerators i.e. LCM of 459,306,390 is 59670.

GCF of Denominators means GCF of 35,18,372 as per the given fractions.

GCF of 35,18,372 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 459,306,390

LCM of Fractions 459/35,306/18,390/372 is 59670

2 459, 306, 390
3 459, 153, 195
3 51, 153, 65
17 17, 51, 65
1, 3, 65

∴ So the LCM of the given numbers is 2 x 3 x 3 x 17 x 1 x 3 x 65 = 59670

Least Common Multiple of 459,306,390 with GCF Formula

Least Common Multiple of 459,306,390 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 459,306,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,306,390) = 3

common factors(in case of two or more numbers have common factors) = 306

GCF(459,306,390) x common factors =3 x 306 = 918

LCM(459,306,390) = ( 459 × 306 × 390 ) / 918

LCM(459,306,390) = 54777060 / 918

LCM(459,306,390) = 59670


Lets's calculate GCF of 35,18,372

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59670/1

Therefore the LCM of Fractions 459/35,306/18,390/372 is 59670

Greatest Common Factor of 35,18,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,18,372 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 18

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

1,2,3,6,9,18

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 35,18,372 . The biggest common factor number is the GCF number.
So the greatest common factor 35,18,372 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 459/35, 306/18, 390/372

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 459/35, 306/18, 390/372?

Answer: LCM of Numerators as per given numbers 459/35, 306/18, 390/372 is

LCM of Numerators i.e. for 459,306,390 is 59670

GCF of denominators i.e. for 35,18,372 is 1.

Thus, LCM of Fractions is 59670.Finally, LCM of Fractions for 459/35, 306/18, 390/372 is 59670.