Least Common Multiple of 13/736, 782/644, 930/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/736, 782/644, 930/367 quickly i.e. 4727190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/736, 782/644, 930/367 is 4727190.

LCM(13/736, 782/644, 930/367) = 4727190

LCM of 13/736, 782/644, 930/367

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 13/736,782/644,930/367

Given numbers are 13/736,782/644,930/367

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 13,782,930

Least Common Multiple of Numerators i.e. LCM of 13,782,930 is 4727190.

GCF of Denominators means GCF of 736,644,367 as per the given fractions.

GCF of 736,644,367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,782,930

LCM of Fractions 13/736,782/644,930/367 is 4727190

2 13, 782, 930
13, 391, 465

∴ So the LCM of the given numbers is 2 x 13 x 391 x 465 = 4727190

Least Common Multiple of 13,782,930 with GCF Formula

Least Common Multiple of 13,782,930 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 13,782,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,782,930) = 1

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

GCF(13,782,930) x common factors =1 x 2 = 2

LCM(13,782,930) = ( 13 × 782 × 930 ) / 2

LCM(13,782,930) = 9454380 / 2

LCM(13,782,930) = 4727190


Lets's calculate GCF of 736,644,367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4727190/1

Therefore the LCM of Fractions 13/736,782/644,930/367 is 4727190

Greatest Common Factor of 736,644,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,644,367 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 736,644,367 . The biggest common factor number is the GCF number.
So the greatest common factor 736,644,367 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 13/736, 782/644, 930/367

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 13/736, 782/644, 930/367?

Answer: LCM of Numerators as per given numbers 13/736, 782/644, 930/367 is

LCM of Numerators i.e. for 13,782,930 is 4727190

GCF of denominators i.e. for 736,644,367 is 1.

Thus, LCM of Fractions is 4727190.Finally, LCM of Fractions for 13/736, 782/644, 930/367 is 4727190.