Least Common Multiple of 842/822, 6408/2616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 842/822, 6408/2616 quickly i.e. 449628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 842/822, 6408/2616 is 449628.

LCM(842/822, 6408/2616) = 449628

LCM of 842/822, 6408/2616

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 842/822,6408/2616

Given numbers are 842/822,6408/2616

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 842,6408

Least Common Multiple of Numerators i.e. LCM of 842,6408 is 2697768.

GCF of Denominators means GCF of 822,2616 as per the given fractions.

GCF of 822,2616 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 842,6408

LCM of Fractions 842/822,6408/2616 is 449628

2 842, 6408
421, 3204

∴ So the LCM of the given numbers is 2 x 421 x 3204 = 2697768

Least Common Multiple of 842,6408 with GCF Formula

Least Common Multiple of 842,6408 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 842,6408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,6408) = 2

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

GCF(842,6408) x common factors =2 x 1 = 2

LCM(842,6408) = ( 842 × 6408 ) / 2

LCM(842,6408) = 5395536 / 2

LCM(842,6408) = 2697768


Lets's calculate GCF of 822,2616

2 822, 2616
3 411, 1308
137, 436

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2697768/6

Therefore the LCM of Fractions 842/822,6408/2616 is 449628

Greatest Common Factor of 822,2616 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,2616 By Matching Biggest Common Factor Method

Factors of 822

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

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

Factors of 2616

List of positive integer factors of 2616 that divides 2616 without a remainder.

1,2,3,4,6,8,12,24,109,218,327,436,654,872,1308,2616

Greatest Common Factor

We found the factors 822,2616 . The biggest common factor number is the GCF number.
So the greatest common factor 822,2616 is 6.


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 842/822, 6408/2616

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 842/822, 6408/2616?

Answer: LCM of Numerators as per given numbers 842/822, 6408/2616 is

LCM of Numerators i.e. for 842,6408 is 2697768

GCF of denominators i.e. for 822,2616 is 6.

Thus, LCM of Fractions is 449628.Finally, LCM of Fractions for 842/822, 6408/2616 is 449628.