Least Common Multiple of 666/99, 790/87, 890/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 666/99, 790/87, 890/312 quickly i.e. 7804410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 666/99, 790/87, 890/312 is 7804410.

LCM(666/99, 790/87, 890/312) = 7804410

LCM of 666/99, 790/87, 890/312

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 666/99,790/87,890/312

Given numbers are 666/99,790/87,890/312

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 666,790,890

Least Common Multiple of Numerators i.e. LCM of 666,790,890 is 23413230.

GCF of Denominators means GCF of 99,87,312 as per the given fractions.

GCF of 99,87,312 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 666,790,890

LCM of Fractions 666/99,790/87,890/312 is 7804410

2 666, 790, 890
5 333, 395, 445
333, 79, 89

∴ So the LCM of the given numbers is 2 x 5 x 333 x 79 x 89 = 23413230

Least Common Multiple of 666,790,890 with GCF Formula

Least Common Multiple of 666,790,890 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 666,790,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,790,890) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(666,790,890) x common factors =2 x 10 = 20

LCM(666,790,890) = ( 666 × 790 × 890 ) / 20

LCM(666,790,890) = 468264600 / 20

LCM(666,790,890) = 23413230


Lets's calculate GCF of 99,87,312

3 99, 87, 312
33, 29, 104

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23413230/3

Therefore the LCM of Fractions 666/99,790/87,890/312 is 7804410

Greatest Common Factor of 99,87,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,87,312 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 87

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

1,3,29,87

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 99,87,312 . The biggest common factor number is the GCF number.
So the greatest common factor 99,87,312 is 3.


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 666/99, 790/87, 890/312

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 666/99, 790/87, 890/312?

Answer: LCM of Numerators as per given numbers 666/99, 790/87, 890/312 is

LCM of Numerators i.e. for 666,790,890 is 23413230

GCF of denominators i.e. for 99,87,312 is 3.

Thus, LCM of Fractions is 7804410.Finally, LCM of Fractions for 666/99, 790/87, 890/312 is 7804410.