Least Common Multiple of 15/320, 29/784, 426/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/320, 29/784, 426/766 quickly i.e. 30885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/320, 29/784, 426/766 is 30885.

LCM(15/320, 29/784, 426/766) = 30885

LCM of 15/320, 29/784, 426/766

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 15/320,29/784,426/766

Given numbers are 15/320,29/784,426/766

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 15,29,426

Least Common Multiple of Numerators i.e. LCM of 15,29,426 is 61770.

GCF of Denominators means GCF of 320,784,766 as per the given fractions.

GCF of 320,784,766 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,29,426

LCM of Fractions 15/320,29/784,426/766 is 30885

3 15, 29, 426
5, 29, 142

∴ So the LCM of the given numbers is 3 x 5 x 29 x 142 = 61770

Least Common Multiple of 15,29,426 with GCF Formula

Least Common Multiple of 15,29,426 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 15,29,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,29,426) = 1

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

GCF(15,29,426) x common factors =1 x 3 = 3

LCM(15,29,426) = ( 15 × 29 × 426 ) / 3

LCM(15,29,426) = 185310 / 3

LCM(15,29,426) = 61770


Lets's calculate GCF of 320,784,766

2 320, 784, 766
160, 392, 383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61770/2

Therefore the LCM of Fractions 15/320,29/784,426/766 is 30885

Greatest Common Factor of 320,784,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,784,766 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 320,784,766 . The biggest common factor number is the GCF number.
So the greatest common factor 320,784,766 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 15/320, 29/784, 426/766

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 15/320, 29/784, 426/766?

Answer: LCM of Numerators as per given numbers 15/320, 29/784, 426/766 is

LCM of Numerators i.e. for 15,29,426 is 61770

GCF of denominators i.e. for 320,784,766 is 2.

Thus, LCM of Fractions is 30885.Finally, LCM of Fractions for 15/320, 29/784, 426/766 is 30885.