Least Common Multiple of 246/73, 563/27, 549/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 246/73, 563/27, 549/630 quickly i.e. 25345134 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 246/73, 563/27, 549/630 is 25345134.

LCM(246/73, 563/27, 549/630) = 25345134

LCM of 246/73, 563/27, 549/630

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 246/73,563/27,549/630

Given numbers are 246/73,563/27,549/630

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 246,563,549

Least Common Multiple of Numerators i.e. LCM of 246,563,549 is 25345134.

GCF of Denominators means GCF of 73,27,630 as per the given fractions.

GCF of 73,27,630 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 246,563,549

LCM of Fractions 246/73,563/27,549/630 is 25345134

3 246, 563, 549
82, 563, 183

∴ So the LCM of the given numbers is 3 x 82 x 563 x 183 = 25345134

Least Common Multiple of 246,563,549 with GCF Formula

Least Common Multiple of 246,563,549 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 246,563,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(246,563,549) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(246,563,549) x common factors =1 x 3 = 3

LCM(246,563,549) = ( 246 × 563 × 549 ) / 3

LCM(246,563,549) = 76035402 / 3

LCM(246,563,549) = 25345134


Lets's calculate GCF of 73,27,630

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25345134/1

Therefore the LCM of Fractions 246/73,563/27,549/630 is 25345134

Greatest Common Factor of 73,27,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,27,630 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 73,27,630 . The biggest common factor number is the GCF number.
So the greatest common factor 73,27,630 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 246/73, 563/27, 549/630

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 246/73, 563/27, 549/630?

Answer: LCM of Numerators as per given numbers 246/73, 563/27, 549/630 is

LCM of Numerators i.e. for 246,563,549 is 25345134

GCF of denominators i.e. for 73,27,630 is 1.

Thus, LCM of Fractions is 25345134.Finally, LCM of Fractions for 246/73, 563/27, 549/630 is 25345134.