Least Common Multiple of 10/307, 32/380, 582/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/307, 32/380, 582/414 quickly i.e. 46560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/307, 32/380, 582/414 is 46560.

LCM(10/307, 32/380, 582/414) = 46560

LCM of 10/307, 32/380, 582/414

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 10/307,32/380,582/414

Given numbers are 10/307,32/380,582/414

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 10,32,582

Least Common Multiple of Numerators i.e. LCM of 10,32,582 is 46560.

GCF of Denominators means GCF of 307,380,414 as per the given fractions.

GCF of 307,380,414 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,32,582

LCM of Fractions 10/307,32/380,582/414 is 46560

2 10, 32, 582
5, 16, 291

∴ So the LCM of the given numbers is 2 x 5 x 16 x 291 = 46560

Least Common Multiple of 10,32,582 with GCF Formula

Least Common Multiple of 10,32,582 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 10,32,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,32,582) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(10,32,582) x common factors =2 x 2 = 4

LCM(10,32,582) = ( 10 × 32 × 582 ) / 4

LCM(10,32,582) = 186240 / 4

LCM(10,32,582) = 46560


Lets's calculate GCF of 307,380,414

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46560/1

Therefore the LCM of Fractions 10/307,32/380,582/414 is 46560

Greatest Common Factor of 307,380,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 307,380,414 By Matching Biggest Common Factor Method

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 307,380,414 . The biggest common factor number is the GCF number.
So the greatest common factor 307,380,414 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 10/307, 32/380, 582/414

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 10/307, 32/380, 582/414?

Answer: LCM of Numerators as per given numbers 10/307, 32/380, 582/414 is

LCM of Numerators i.e. for 10,32,582 is 46560

GCF of denominators i.e. for 307,380,414 is 1.

Thus, LCM of Fractions is 46560.Finally, LCM of Fractions for 10/307, 32/380, 582/414 is 46560.