Least Common Multiple of 816/291, 1193/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 816/291, 1193/648 quickly i.e. 324496 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, 1193/648 is 324496.

LCM(816/291, 1193/648) = 324496

LCM of 816/291, 1193/648

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 816/291,1193/648

Given numbers are 816/291,1193/648

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 816,1193

Least Common Multiple of Numerators i.e. LCM of 816,1193 is 973488.

GCF of Denominators means GCF of 291,648 as per the given fractions.

GCF of 291,648 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 816,1193

LCM of Fractions 816/291,1193/648 is 324496

Given numbers has no common factors except 1. So, there LCM is their product i.e 973488

Least Common Multiple of 816,1193 with GCF Formula

Least Common Multiple of 816,1193 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 816,1193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,1193) = 1

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

GCF(816,1193) x common factors =1 x 1 = 1

LCM(816,1193) = ( 816 × 1193 ) / 1

LCM(816,1193) = 973488 / 1

LCM(816,1193) = 973488


Lets's calculate GCF of 291,648

3 291, 648
97, 216

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 973488/3

Therefore the LCM of Fractions 816/291,1193/648 is 324496

Greatest Common Factor of 291,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,648 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 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 291,648 . The biggest common factor number is the GCF number.
So the greatest common factor 291,648 is 3.


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, 1193/648

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, 1193/648?

Answer: LCM of Numerators as per given numbers 816/291, 1193/648 is

LCM of Numerators i.e. for 816,1193 is 973488

GCF of denominators i.e. for 291,648 is 3.

Thus, LCM of Fractions is 324496.Finally, LCM of Fractions for 816/291, 1193/648 is 324496.