Least Common Multiple of 60/80, 499/15, 284/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/80, 499/15, 284/285 quickly i.e. 425148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/80, 499/15, 284/285 is 425148.

LCM(60/80, 499/15, 284/285) = 425148

LCM of 60/80, 499/15, 284/285

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 60/80,499/15,284/285

Given numbers are 60/80,499/15,284/285

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 60,499,284

Least Common Multiple of Numerators i.e. LCM of 60,499,284 is 2125740.

GCF of Denominators means GCF of 80,15,285 as per the given fractions.

GCF of 80,15,285 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,499,284

LCM of Fractions 60/80,499/15,284/285 is 425148

2 60, 499, 284
2 30, 499, 142
15, 499, 71

∴ So the LCM of the given numbers is 2 x 2 x 15 x 499 x 71 = 2125740

Least Common Multiple of 60,499,284 with GCF Formula

Least Common Multiple of 60,499,284 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 60,499,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,499,284) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(60,499,284) x common factors =1 x 4 = 4

LCM(60,499,284) = ( 60 × 499 × 284 ) / 4

LCM(60,499,284) = 8502960 / 4

LCM(60,499,284) = 2125740


Lets's calculate GCF of 80,15,285

5 80, 15, 285
16, 3, 57

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2125740/5

Therefore the LCM of Fractions 60/80,499/15,284/285 is 425148

Greatest Common Factor of 80,15,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,15,285 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors 80,15,285 . The biggest common factor number is the GCF number.
So the greatest common factor 80,15,285 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 60/80, 499/15, 284/285

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 60/80, 499/15, 284/285?

Answer: LCM of Numerators as per given numbers 60/80, 499/15, 284/285 is

LCM of Numerators i.e. for 60,499,284 is 2125740

GCF of denominators i.e. for 80,15,285 is 5.

Thus, LCM of Fractions is 425148.Finally, LCM of Fractions for 60/80, 499/15, 284/285 is 425148.