Least Common Multiple of 284/60, 890/7432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 284/60, 890/7432 quickly i.e. 31595 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, 890/7432 is 31595.

LCM(284/60, 890/7432) = 31595

LCM of 284/60, 890/7432

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 284/60,890/7432

Given numbers are 284/60,890/7432

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 284,890

Least Common Multiple of Numerators i.e. LCM of 284,890 is 126380.

GCF of Denominators means GCF of 60,7432 as per the given fractions.

GCF of 60,7432 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 284,890

LCM of Fractions 284/60,890/7432 is 31595

2 284, 890
142, 445

∴ So the LCM of the given numbers is 2 x 142 x 445 = 126380

Least Common Multiple of 284,890 with GCF Formula

Least Common Multiple of 284,890 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 284,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,890) = 2

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

GCF(284,890) x common factors =2 x 1 = 2

LCM(284,890) = ( 284 × 890 ) / 2

LCM(284,890) = 252760 / 2

LCM(284,890) = 126380


Lets's calculate GCF of 60,7432

2 60, 7432
2 30, 3716
15, 1858

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126380/4

Therefore the LCM of Fractions 284/60,890/7432 is 31595

Greatest Common Factor of 60,7432 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,7432 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 7432

List of positive integer factors of 7432 that divides 7432 without a remainder.

1,2,4,8,929,1858,3716,7432

Greatest Common Factor

We found the factors 60,7432 . The biggest common factor number is the GCF number.
So the greatest common factor 60,7432 is 4.


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, 890/7432

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, 890/7432?

Answer: LCM of Numerators as per given numbers 284/60, 890/7432 is

LCM of Numerators i.e. for 284,890 is 126380

GCF of denominators i.e. for 60,7432 is 4.

Thus, LCM of Fractions is 31595.Finally, LCM of Fractions for 284/60, 890/7432 is 31595.