Least Common Multiple of 822/14, 600/2666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 822/14, 600/2666 quickly i.e. 41100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 822/14, 600/2666 is 41100.

LCM(822/14, 600/2666) = 41100

LCM of 822/14, 600/2666

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 822/14,600/2666

Given numbers are 822/14,600/2666

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 822,600

Least Common Multiple of Numerators i.e. LCM of 822,600 is 82200.

GCF of Denominators means GCF of 14,2666 as per the given fractions.

GCF of 14,2666 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 822,600

LCM of Fractions 822/14,600/2666 is 41100

2 822, 600
3 411, 300
137, 100

∴ So the LCM of the given numbers is 2 x 3 x 137 x 100 = 82200

Least Common Multiple of 822,600 with GCF Formula

Least Common Multiple of 822,600 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 822,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,600) = 6

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

GCF(822,600) x common factors =6 x 1 = 6

LCM(822,600) = ( 822 × 600 ) / 6

LCM(822,600) = 493200 / 6

LCM(822,600) = 82200


Lets's calculate GCF of 14,2666

2 14, 2666
7, 1333

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82200/2

Therefore the LCM of Fractions 822/14,600/2666 is 41100

Greatest Common Factor of 14,2666 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,2666 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 2666

List of positive integer factors of 2666 that divides 2666 without a remainder.

1,2,31,43,62,86,1333,2666

Greatest Common Factor

We found the factors 14,2666 . The biggest common factor number is the GCF number.
So the greatest common factor 14,2666 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 822/14, 600/2666

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 822/14, 600/2666?

Answer: LCM of Numerators as per given numbers 822/14, 600/2666 is

LCM of Numerators i.e. for 822,600 is 82200

GCF of denominators i.e. for 14,2666 is 2.

Thus, LCM of Fractions is 41100.Finally, LCM of Fractions for 822/14, 600/2666 is 41100.