Least Common Multiple of 4282/365, 2805/7815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4282/365, 2805/7815 quickly i.e. 2402202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4282/365, 2805/7815 is 2402202.

LCM(4282/365, 2805/7815) = 2402202

LCM of 4282/365, 2805/7815

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 4282/365,2805/7815

Given numbers are 4282/365,2805/7815

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 4282,2805

Least Common Multiple of Numerators i.e. LCM of 4282,2805 is 12011010.

GCF of Denominators means GCF of 365,7815 as per the given fractions.

GCF of 365,7815 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4282,2805

LCM of Fractions 4282/365,2805/7815 is 2402202

Given numbers has no common factors except 1. So, there LCM is their product i.e 12011010

Least Common Multiple of 4282,2805 with GCF Formula

Least Common Multiple of 4282,2805 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 4282,2805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4282,2805) = 1

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

GCF(4282,2805) x common factors =1 x 1 = 1

LCM(4282,2805) = ( 4282 × 2805 ) / 1

LCM(4282,2805) = 12011010 / 1

LCM(4282,2805) = 12011010


Lets's calculate GCF of 365,7815

5 365, 7815
73, 1563

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12011010/5

Therefore the LCM of Fractions 4282/365,2805/7815 is 2402202

Greatest Common Factor of 365,7815 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,7815 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 7815

List of positive integer factors of 7815 that divides 7815 without a remainder.

1,3,5,15,521,1563,2605,7815

Greatest Common Factor

We found the factors 365,7815 . The biggest common factor number is the GCF number.
So the greatest common factor 365,7815 is 5.


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 4282/365, 2805/7815

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 4282/365, 2805/7815?

Answer: LCM of Numerators as per given numbers 4282/365, 2805/7815 is

LCM of Numerators i.e. for 4282,2805 is 12011010

GCF of denominators i.e. for 365,7815 is 5.

Thus, LCM of Fractions is 2402202.Finally, LCM of Fractions for 4282/365, 2805/7815 is 2402202.