Least Common Multiple of 461/23, 615/38, 321/719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 461/23, 615/38, 321/719 quickly i.e. 30336105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 461/23, 615/38, 321/719 is 30336105.

LCM(461/23, 615/38, 321/719) = 30336105

LCM of 461/23, 615/38, 321/719

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 461/23,615/38,321/719

Given numbers are 461/23,615/38,321/719

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 461,615,321

Least Common Multiple of Numerators i.e. LCM of 461,615,321 is 30336105.

GCF of Denominators means GCF of 23,38,719 as per the given fractions.

GCF of 23,38,719 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 461,615,321

LCM of Fractions 461/23,615/38,321/719 is 30336105

3 461, 615, 321
461, 205, 107

∴ So the LCM of the given numbers is 3 x 461 x 205 x 107 = 30336105

Least Common Multiple of 461,615,321 with GCF Formula

Least Common Multiple of 461,615,321 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 461,615,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,615,321) = 1

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

GCF(461,615,321) x common factors =1 x 3 = 3

LCM(461,615,321) = ( 461 × 615 × 321 ) / 3

LCM(461,615,321) = 91008315 / 3

LCM(461,615,321) = 30336105


Lets's calculate GCF of 23,38,719

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30336105/1

Therefore the LCM of Fractions 461/23,615/38,321/719 is 30336105

Greatest Common Factor of 23,38,719 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,38,719 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Greatest Common Factor

We found the factors 23,38,719 . The biggest common factor number is the GCF number.
So the greatest common factor 23,38,719 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 461/23, 615/38, 321/719

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 461/23, 615/38, 321/719?

Answer: LCM of Numerators as per given numbers 461/23, 615/38, 321/719 is

LCM of Numerators i.e. for 461,615,321 is 30336105

GCF of denominators i.e. for 23,38,719 is 1.

Thus, LCM of Fractions is 30336105.Finally, LCM of Fractions for 461/23, 615/38, 321/719 is 30336105.