Least Common Multiple of 816/37, 343/6293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 816/37, 343/6293 quickly i.e. 279888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 816/37, 343/6293 is 279888.

LCM(816/37, 343/6293) = 279888

LCM of 816/37, 343/6293

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 816/37,343/6293

Given numbers are 816/37,343/6293

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 816,343

Least Common Multiple of Numerators i.e. LCM of 816,343 is 279888.

GCF of Denominators means GCF of 37,6293 as per the given fractions.

GCF of 37,6293 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 816,343

LCM of Fractions 816/37,343/6293 is 279888

Given numbers has no common factors except 1. So, there LCM is their product i.e 279888

Least Common Multiple of 816,343 with GCF Formula

Least Common Multiple of 816,343 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 816,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,343) = 1

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

GCF(816,343) x common factors =1 x 1 = 1

LCM(816,343) = ( 816 × 343 ) / 1

LCM(816,343) = 279888 / 1

LCM(816,343) = 279888


Lets's calculate GCF of 37,6293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 279888/1

Therefore the LCM of Fractions 816/37,343/6293 is 279888

Greatest Common Factor of 37,6293 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,6293 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 6293

List of positive integer factors of 6293 that divides 6293 without a remainder.

1,7,29,31,203,217,899,6293

Greatest Common Factor

We found the factors 37,6293 . The biggest common factor number is the GCF number.
So the greatest common factor 37,6293 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 816/37, 343/6293

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 816/37, 343/6293?

Answer: LCM of Numerators as per given numbers 816/37, 343/6293 is

LCM of Numerators i.e. for 816,343 is 279888

GCF of denominators i.e. for 37,6293 is 1.

Thus, LCM of Fractions is 279888.Finally, LCM of Fractions for 816/37, 343/6293 is 279888.