Least Common Multiple of 284/340, 5602/7818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 284/340, 5602/7818 quickly i.e. 397742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 284/340, 5602/7818 is 397742.

LCM(284/340, 5602/7818) = 397742

LCM of 284/340, 5602/7818

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 284/340,5602/7818

Given numbers are 284/340,5602/7818

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 284,5602

Least Common Multiple of Numerators i.e. LCM of 284,5602 is 795484.

GCF of Denominators means GCF of 340,7818 as per the given fractions.

GCF of 340,7818 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 284,5602

LCM of Fractions 284/340,5602/7818 is 397742

2 284, 5602
142, 2801

∴ So the LCM of the given numbers is 2 x 142 x 2801 = 795484

Least Common Multiple of 284,5602 with GCF Formula

Least Common Multiple of 284,5602 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 284,5602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,5602) = 2

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

GCF(284,5602) x common factors =2 x 1 = 2

LCM(284,5602) = ( 284 × 5602 ) / 2

LCM(284,5602) = 1590968 / 2

LCM(284,5602) = 795484


Lets's calculate GCF of 340,7818

2 340, 7818
170, 3909

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 795484/2

Therefore the LCM of Fractions 284/340,5602/7818 is 397742

Greatest Common Factor of 340,7818 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,7818 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 7818

List of positive integer factors of 7818 that divides 7818 without a remainder.

1,2,3,6,1303,2606,3909,7818

Greatest Common Factor

We found the factors 340,7818 . The biggest common factor number is the GCF number.
So the greatest common factor 340,7818 is 2.


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 284/340, 5602/7818

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 284/340, 5602/7818?

Answer: LCM of Numerators as per given numbers 284/340, 5602/7818 is

LCM of Numerators i.e. for 284,5602 is 795484

GCF of denominators i.e. for 340,7818 is 2.

Thus, LCM of Fractions is 397742.Finally, LCM of Fractions for 284/340, 5602/7818 is 397742.