Least Common Multiple of 816/291, 307/380, 832/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 816/291, 307/380, 832/715 quickly i.e. 13026624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 816/291, 307/380, 832/715 is 13026624.

LCM(816/291, 307/380, 832/715) = 13026624

LCM of 816/291, 307/380, 832/715

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 816/291,307/380,832/715

Given numbers are 816/291,307/380,832/715

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 816,307,832

Least Common Multiple of Numerators i.e. LCM of 816,307,832 is 13026624.

GCF of Denominators means GCF of 291,380,715 as per the given fractions.

GCF of 291,380,715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 816,307,832

LCM of Fractions 816/291,307/380,832/715 is 13026624

2 816, 307, 832
2 408, 307, 416
2 204, 307, 208
2 102, 307, 104
51, 307, 52

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 51 x 307 x 52 = 13026624

Least Common Multiple of 816,307,832 with GCF Formula

Least Common Multiple of 816,307,832 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 816,307,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,307,832) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(816,307,832) x common factors =1 x 16 = 16

LCM(816,307,832) = ( 816 × 307 × 832 ) / 16

LCM(816,307,832) = 208425984 / 16

LCM(816,307,832) = 13026624


Lets's calculate GCF of 291,380,715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13026624/1

Therefore the LCM of Fractions 816/291,307/380,832/715 is 13026624

Greatest Common Factor of 291,380,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,380,715 By Matching Biggest Common Factor Method

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

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 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 291,380,715 . The biggest common factor number is the GCF number.
So the greatest common factor 291,380,715 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 816/291, 307/380, 832/715

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 816/291, 307/380, 832/715?

Answer: LCM of Numerators as per given numbers 816/291, 307/380, 832/715 is

LCM of Numerators i.e. for 816,307,832 is 13026624

GCF of denominators i.e. for 291,380,715 is 1.

Thus, LCM of Fractions is 13026624.Finally, LCM of Fractions for 816/291, 307/380, 832/715 is 13026624.