Least Common Multiple of 284/42, 840/4085

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 284/42, 840/4085 quickly i.e. 59640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 284/42, 840/4085 is 59640.

LCM(284/42, 840/4085) = 59640

LCM of 284/42, 840/4085

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 284/42,840/4085

Given numbers are 284/42,840/4085

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 284,840

Least Common Multiple of Numerators i.e. LCM of 284,840 is 59640.

GCF of Denominators means GCF of 42,4085 as per the given fractions.

GCF of 42,4085 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 284,840

LCM of Fractions 284/42,840/4085 is 59640

2 284, 840
2 142, 420
71, 210

∴ So the LCM of the given numbers is 2 x 2 x 71 x 210 = 59640

Least Common Multiple of 284,840 with GCF Formula

Least Common Multiple of 284,840 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 284,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,840) = 4

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

GCF(284,840) x common factors =4 x 1 = 4

LCM(284,840) = ( 284 × 840 ) / 4

LCM(284,840) = 238560 / 4

LCM(284,840) = 59640


Lets's calculate GCF of 42,4085

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59640/1

Therefore the LCM of Fractions 284/42,840/4085 is 59640

Greatest Common Factor of 42,4085 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,4085 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 4085

List of positive integer factors of 4085 that divides 4085 without a remainder.

1,5,19,43,95,215,817,4085

Greatest Common Factor

We found the factors 42,4085 . The biggest common factor number is the GCF number.
So the greatest common factor 42,4085 is 1.


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 284/42, 840/4085

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 284/42, 840/4085?

Answer: LCM of Numerators as per given numbers 284/42, 840/4085 is

LCM of Numerators i.e. for 284,840 is 59640

GCF of denominators i.e. for 42,4085 is 1.

Thus, LCM of Fractions is 59640.Finally, LCM of Fractions for 284/42, 840/4085 is 59640.