Least Common Multiple of 284/60, 530/3875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 284/60, 530/3875 quickly i.e. 15052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 284/60, 530/3875 is 15052.

LCM(284/60, 530/3875) = 15052

LCM of 284/60, 530/3875

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 284/60,530/3875

Given numbers are 284/60,530/3875

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 284,530

Least Common Multiple of Numerators i.e. LCM of 284,530 is 75260.

GCF of Denominators means GCF of 60,3875 as per the given fractions.

GCF of 60,3875 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 284,530

LCM of Fractions 284/60,530/3875 is 15052

2 284, 530
142, 265

∴ So the LCM of the given numbers is 2 x 142 x 265 = 75260

Least Common Multiple of 284,530 with GCF Formula

Least Common Multiple of 284,530 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 284,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,530) = 2

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

GCF(284,530) x common factors =2 x 1 = 2

LCM(284,530) = ( 284 × 530 ) / 2

LCM(284,530) = 150520 / 2

LCM(284,530) = 75260


Lets's calculate GCF of 60,3875

5 60, 3875
12, 775

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75260/5

Therefore the LCM of Fractions 284/60,530/3875 is 15052

Greatest Common Factor of 60,3875 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,3875 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 3875

List of positive integer factors of 3875 that divides 3875 without a remainder.

1,5,25,31,125,155,775,3875

Greatest Common Factor

We found the factors 60,3875 . The biggest common factor number is the GCF number.
So the greatest common factor 60,3875 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 284/60, 530/3875

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 284/60, 530/3875?

Answer: LCM of Numerators as per given numbers 284/60, 530/3875 is

LCM of Numerators i.e. for 284,530 is 75260

GCF of denominators i.e. for 60,3875 is 5.

Thus, LCM of Fractions is 15052.Finally, LCM of Fractions for 284/60, 530/3875 is 15052.