Least Common Multiple of 816/42, 794/2415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 816/42, 794/2415 quickly i.e. 323952/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 816/42, 794/2415 is 323952/21.

LCM(816/42, 794/2415) = 323952/21

LCM of 816/42, 794/2415

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 816/42,794/2415

Given numbers are 816/42,794/2415

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 816,794

Least Common Multiple of Numerators i.e. LCM of 816,794 is 323952.

GCF of Denominators means GCF of 42,2415 as per the given fractions.

GCF of 42,2415 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 816,794

LCM of Fractions 816/42,794/2415 is 323952/21

2 816, 794
408, 397

∴ So the LCM of the given numbers is 2 x 408 x 397 = 323952

Least Common Multiple of 816,794 with GCF Formula

Least Common Multiple of 816,794 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 816,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,794) = 2

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

GCF(816,794) x common factors =2 x 1 = 2

LCM(816,794) = ( 816 × 794 ) / 2

LCM(816,794) = 647904 / 2

LCM(816,794) = 323952


Lets's calculate GCF of 42,2415

3 42, 2415
7 14, 805
2, 115

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 323952/21

Therefore the LCM of Fractions 816/42,794/2415 is 323952/21

Greatest Common Factor of 42,2415 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,2415 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 2415

List of positive integer factors of 2415 that divides 2415 without a remainder.

1,3,5,7,15,21,23,35,69,105,115,161,345,483,805,2415

Greatest Common Factor

We found the factors 42,2415 . The biggest common factor number is the GCF number.
So the greatest common factor 42,2415 is 21.


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 816/42, 794/2415

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 816/42, 794/2415?

Answer: LCM of Numerators as per given numbers 816/42, 794/2415 is

LCM of Numerators i.e. for 816,794 is 323952

GCF of denominators i.e. for 42,2415 is 21.

Thus, LCM of Fractions is 323952/21.Finally, LCM of Fractions for 816/42, 794/2415 is 323952/21.