Least Common Multiple of 805/816, 7798/7296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 805/816, 7798/7296 quickly i.e. 896770/48 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 805/816, 7798/7296 is 896770/48.

LCM(805/816, 7798/7296) = 896770/48

LCM of 805/816, 7798/7296

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 805/816,7798/7296

Given numbers are 805/816,7798/7296

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 805,7798

Least Common Multiple of Numerators i.e. LCM of 805,7798 is 896770.

GCF of Denominators means GCF of 816,7296 as per the given fractions.

GCF of 816,7296 is 48 as it is the largest common factor for these numbers.

Lets's calculate LCM of 805,7798

LCM of Fractions 805/816,7798/7296 is 896770/48

7 805, 7798
115, 1114

∴ So the LCM of the given numbers is 7 x 115 x 1114 = 896770

Least Common Multiple of 805,7798 with GCF Formula

Least Common Multiple of 805,7798 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 805,7798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(805,7798) = 7

common factors(in case of two or more numbers have common factors) = 1

GCF(805,7798) x common factors =7 x 1 = 7

LCM(805,7798) = ( 805 × 7798 ) / 7

LCM(805,7798) = 6277390 / 7

LCM(805,7798) = 896770


Lets's calculate GCF of 816,7296

2 816, 7296
2 408, 3648
2 204, 1824
2 102, 912
3 51, 456
17, 152

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 896770/48

Therefore the LCM of Fractions 805/816,7798/7296 is 896770/48

Greatest Common Factor of 816,7296 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,7296 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 7296

List of positive integer factors of 7296 that divides 7296 without a remainder.

1,2,3,4,6,8,12,16,19,24,32,38,48,57,64,76,96,114,128,152,192,228,304,384,456,608,912,1216,1824,2432,3648,7296

Greatest Common Factor

We found the factors 816,7296 . The biggest common factor number is the GCF number.
So the greatest common factor 816,7296 is 48.


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 805/816, 7798/7296

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 805/816, 7798/7296?

Answer: LCM of Numerators as per given numbers 805/816, 7798/7296 is

LCM of Numerators i.e. for 805,7798 is 896770

GCF of denominators i.e. for 816,7296 is 48.

Thus, LCM of Fractions is 896770/48.Finally, LCM of Fractions for 805/816, 7798/7296 is 896770/48.