Least Common Multiple of 5782/816, 7818/1725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5782/816, 7818/1725 quickly i.e. 7533946 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5782/816, 7818/1725 is 7533946.

LCM(5782/816, 7818/1725) = 7533946

LCM of 5782/816, 7818/1725

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 5782/816,7818/1725

Given numbers are 5782/816,7818/1725

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 5782,7818

Least Common Multiple of Numerators i.e. LCM of 5782,7818 is 22601838.

GCF of Denominators means GCF of 816,1725 as per the given fractions.

GCF of 816,1725 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5782,7818

LCM of Fractions 5782/816,7818/1725 is 7533946

2 5782, 7818
2891, 3909

∴ So the LCM of the given numbers is 2 x 2891 x 3909 = 22601838

Least Common Multiple of 5782,7818 with GCF Formula

Least Common Multiple of 5782,7818 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 5782,7818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5782,7818) = 2

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

GCF(5782,7818) x common factors =2 x 1 = 2

LCM(5782,7818) = ( 5782 × 7818 ) / 2

LCM(5782,7818) = 45203676 / 2

LCM(5782,7818) = 22601838


Lets's calculate GCF of 816,1725

3 816, 1725
272, 575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22601838/3

Therefore the LCM of Fractions 5782/816,7818/1725 is 7533946

Greatest Common Factor of 816,1725 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,1725 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 1725

List of positive integer factors of 1725 that divides 1725 without a remainder.

1,3,5,15,23,25,69,75,115,345,575,1725

Greatest Common Factor

We found the factors 816,1725 . The biggest common factor number is the GCF number.
So the greatest common factor 816,1725 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 5782/816, 7818/1725

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 5782/816, 7818/1725?

Answer: LCM of Numerators as per given numbers 5782/816, 7818/1725 is

LCM of Numerators i.e. for 5782,7818 is 22601838

GCF of denominators i.e. for 816,1725 is 3.

Thus, LCM of Fractions is 7533946.Finally, LCM of Fractions for 5782/816, 7818/1725 is 7533946.