Least Common Multiple of 243/14, 822/46, 270/20

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 243/14, 822/46, 270/20 quickly i.e. 166455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 243/14, 822/46, 270/20 is 166455.

LCM(243/14, 822/46, 270/20) = 166455

LCM of 243/14, 822/46, 270/20

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 243/14,822/46,270/20

Given numbers are 243/14,822/46,270/20

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 243,822,270

Least Common Multiple of Numerators i.e. LCM of 243,822,270 is 332910.

GCF of Denominators means GCF of 14,46,20 as per the given fractions.

GCF of 14,46,20 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 243,822,270

LCM of Fractions 243/14,822/46,270/20 is 166455

2 243, 822, 270
3 243, 411, 135
3 81, 137, 45
3 27, 137, 15
9, 137, 5

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 9 x 137 x 5 = 332910

Least Common Multiple of 243,822,270 with GCF Formula

Least Common Multiple of 243,822,270 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 243,822,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,822,270) = 3

common factors(in case of two or more numbers have common factors) = 54

GCF(243,822,270) x common factors =3 x 54 = 162

LCM(243,822,270) = ( 243 × 822 × 270 ) / 162

LCM(243,822,270) = 53931420 / 162

LCM(243,822,270) = 332910


Lets's calculate GCF of 14,46,20

2 14, 46, 20
7, 23, 10

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 332910/2

Therefore the LCM of Fractions 243/14,822/46,270/20 is 166455

Greatest Common Factor of 14,46,20 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,46,20 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Greatest Common Factor

We found the factors 14,46,20 . The biggest common factor number is the GCF number.
So the greatest common factor 14,46,20 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 243/14, 822/46, 270/20

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 243/14, 822/46, 270/20?

Answer: LCM of Numerators as per given numbers 243/14, 822/46, 270/20 is

LCM of Numerators i.e. for 243,822,270 is 332910

GCF of denominators i.e. for 14,46,20 is 2.

Thus, LCM of Fractions is 166455.Finally, LCM of Fractions for 243/14, 822/46, 270/20 is 166455.