Least Common Multiple of 502/860, 8009/3225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 502/860, 8009/3225 quickly i.e. 4020518/215 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 502/860, 8009/3225 is 4020518/215.

LCM(502/860, 8009/3225) = 4020518/215

LCM of 502/860, 8009/3225

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 502/860,8009/3225

Given numbers are 502/860,8009/3225

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 502,8009

Least Common Multiple of Numerators i.e. LCM of 502,8009 is 4020518.

GCF of Denominators means GCF of 860,3225 as per the given fractions.

GCF of 860,3225 is 215 as it is the largest common factor for these numbers.

Lets's calculate LCM of 502,8009

LCM of Fractions 502/860,8009/3225 is 4020518/215

Given numbers has no common factors except 1. So, there LCM is their product i.e 4020518

Least Common Multiple of 502,8009 with GCF Formula

Least Common Multiple of 502,8009 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 502,8009 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,8009) = 1

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

GCF(502,8009) x common factors =1 x 1 = 1

LCM(502,8009) = ( 502 × 8009 ) / 1

LCM(502,8009) = 4020518 / 1

LCM(502,8009) = 4020518


Lets's calculate GCF of 860,3225

5 860, 3225
43 172, 645
4, 15

∴ So the GCF of the given numbers is 5 x 43 = 215

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4020518/215

Therefore the LCM of Fractions 502/860,8009/3225 is 4020518/215

Greatest Common Factor of 860,3225 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,3225 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 3225

List of positive integer factors of 3225 that divides 3225 without a remainder.

1,3,5,15,25,43,75,129,215,645,1075,3225

Greatest Common Factor

We found the factors 860,3225 . The biggest common factor number is the GCF number.
So the greatest common factor 860,3225 is 215.


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 502/860, 8009/3225

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 502/860, 8009/3225?

Answer: LCM of Numerators as per given numbers 502/860, 8009/3225 is

LCM of Numerators i.e. for 502,8009 is 4020518

GCF of denominators i.e. for 860,3225 is 215.

Thus, LCM of Fractions is 4020518/215.Finally, LCM of Fractions for 502/860, 8009/3225 is 4020518/215.