Least Common Multiple of 561/615, 154/462, 309/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 561/615, 154/462, 309/421 quickly i.e. 808962 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 561/615, 154/462, 309/421 is 808962.

LCM(561/615, 154/462, 309/421) = 808962

LCM of 561/615, 154/462, 309/421

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 561/615,154/462,309/421

Given numbers are 561/615,154/462,309/421

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 561,154,309

Least Common Multiple of Numerators i.e. LCM of 561,154,309 is 808962.

GCF of Denominators means GCF of 615,462,421 as per the given fractions.

GCF of 615,462,421 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 561,154,309

LCM of Fractions 561/615,154/462,309/421 is 808962

3 561, 154, 309
11 187, 154, 103
17, 14, 103

∴ So the LCM of the given numbers is 3 x 11 x 17 x 14 x 103 = 808962

Least Common Multiple of 561,154,309 with GCF Formula

Least Common Multiple of 561,154,309 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 561,154,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,154,309) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(561,154,309) x common factors =1 x 33 = 33

LCM(561,154,309) = ( 561 × 154 × 309 ) / 33

LCM(561,154,309) = 26695746 / 33

LCM(561,154,309) = 808962


Lets's calculate GCF of 615,462,421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 808962/1

Therefore the LCM of Fractions 561/615,154/462,309/421 is 808962

Greatest Common Factor of 615,462,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,462,421 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors 615,462,421 . The biggest common factor number is the GCF number.
So the greatest common factor 615,462,421 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 561/615, 154/462, 309/421

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 561/615, 154/462, 309/421?

Answer: LCM of Numerators as per given numbers 561/615, 154/462, 309/421 is

LCM of Numerators i.e. for 561,154,309 is 808962

GCF of denominators i.e. for 615,462,421 is 1.

Thus, LCM of Fractions is 808962.Finally, LCM of Fractions for 561/615, 154/462, 309/421 is 808962.