Least Common Multiple of 808/84, 1412/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 808/84, 1412/516 quickly i.e. 285224/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 808/84, 1412/516 is 285224/12.

LCM(808/84, 1412/516) = 285224/12

LCM of 808/84, 1412/516

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 808/84,1412/516

Given numbers are 808/84,1412/516

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 808,1412

Least Common Multiple of Numerators i.e. LCM of 808,1412 is 285224.

GCF of Denominators means GCF of 84,516 as per the given fractions.

GCF of 84,516 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 808,1412

LCM of Fractions 808/84,1412/516 is 285224/12

2 808, 1412
2 404, 706
202, 353

∴ So the LCM of the given numbers is 2 x 2 x 202 x 353 = 285224

Least Common Multiple of 808,1412 with GCF Formula

Least Common Multiple of 808,1412 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 808,1412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,1412) = 4

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

GCF(808,1412) x common factors =4 x 1 = 4

LCM(808,1412) = ( 808 × 1412 ) / 4

LCM(808,1412) = 1140896 / 4

LCM(808,1412) = 285224


Lets's calculate GCF of 84,516

2 84, 516
2 42, 258
3 21, 129
7, 43

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 285224/12

Therefore the LCM of Fractions 808/84,1412/516 is 285224/12

Greatest Common Factor of 84,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,516 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 84,516 . The biggest common factor number is the GCF number.
So the greatest common factor 84,516 is 12.


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 808/84, 1412/516

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 808/84, 1412/516?

Answer: LCM of Numerators as per given numbers 808/84, 1412/516 is

LCM of Numerators i.e. for 808,1412 is 285224

GCF of denominators i.e. for 84,516 is 12.

Thus, LCM of Fractions is 285224/12.Finally, LCM of Fractions for 808/84, 1412/516 is 285224/12.