Least Common Multiple of 90/686, 28/306, 260/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/686, 28/306, 260/822 quickly i.e. 8190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/686, 28/306, 260/822 is 8190.

LCM(90/686, 28/306, 260/822) = 8190

LCM of 90/686, 28/306, 260/822

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 90/686,28/306,260/822

Given numbers are 90/686,28/306,260/822

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 90,28,260

Least Common Multiple of Numerators i.e. LCM of 90,28,260 is 16380.

GCF of Denominators means GCF of 686,306,822 as per the given fractions.

GCF of 686,306,822 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,28,260

LCM of Fractions 90/686,28/306,260/822 is 8190

2 90, 28, 260
2 45, 14, 130
5 45, 7, 65
9, 7, 13

∴ So the LCM of the given numbers is 2 x 2 x 5 x 9 x 7 x 13 = 16380

Least Common Multiple of 90,28,260 with GCF Formula

Least Common Multiple of 90,28,260 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 90,28,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,28,260) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(90,28,260) x common factors =2 x 20 = 40

LCM(90,28,260) = ( 90 × 28 × 260 ) / 40

LCM(90,28,260) = 655200 / 40

LCM(90,28,260) = 16380


Lets's calculate GCF of 686,306,822

2 686, 306, 822
343, 153, 411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16380/2

Therefore the LCM of Fractions 90/686,28/306,260/822 is 8190

Greatest Common Factor of 686,306,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,306,822 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 686,306,822 . The biggest common factor number is the GCF number.
So the greatest common factor 686,306,822 is 2.


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 90/686, 28/306, 260/822

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 90/686, 28/306, 260/822?

Answer: LCM of Numerators as per given numbers 90/686, 28/306, 260/822 is

LCM of Numerators i.e. for 90,28,260 is 16380

GCF of denominators i.e. for 686,306,822 is 2.

Thus, LCM of Fractions is 8190.Finally, LCM of Fractions for 90/686, 28/306, 260/822 is 8190.