Least Common Multiple of 66/489, 790/87, 267/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/489, 790/87, 267/616 quickly i.e. 2320230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/489, 790/87, 267/616 is 2320230.

LCM(66/489, 790/87, 267/616) = 2320230

LCM of 66/489, 790/87, 267/616

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 66/489,790/87,267/616

Given numbers are 66/489,790/87,267/616

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 66,790,267

Least Common Multiple of Numerators i.e. LCM of 66,790,267 is 2320230.

GCF of Denominators means GCF of 489,87,616 as per the given fractions.

GCF of 489,87,616 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,790,267

LCM of Fractions 66/489,790/87,267/616 is 2320230

2 66, 790, 267
3 33, 395, 267
11, 395, 89

∴ So the LCM of the given numbers is 2 x 3 x 11 x 395 x 89 = 2320230

Least Common Multiple of 66,790,267 with GCF Formula

Least Common Multiple of 66,790,267 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 66,790,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,790,267) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(66,790,267) x common factors =1 x 6 = 6

LCM(66,790,267) = ( 66 × 790 × 267 ) / 6

LCM(66,790,267) = 13921380 / 6

LCM(66,790,267) = 2320230


Lets's calculate GCF of 489,87,616

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2320230/1

Therefore the LCM of Fractions 66/489,790/87,267/616 is 2320230

Greatest Common Factor of 489,87,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,87,616 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 489,87,616 . The biggest common factor number is the GCF number.
So the greatest common factor 489,87,616 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 66/489, 790/87, 267/616

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 66/489, 790/87, 267/616?

Answer: LCM of Numerators as per given numbers 66/489, 790/87, 267/616 is

LCM of Numerators i.e. for 66,790,267 is 2320230

GCF of denominators i.e. for 489,87,616 is 1.

Thus, LCM of Fractions is 2320230.Finally, LCM of Fractions for 66/489, 790/87, 267/616 is 2320230.