Least Common Multiple of 81/522, 823/787, 212/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/522, 823/787, 212/210 quickly i.e. 14132556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/522, 823/787, 212/210 is 14132556.

LCM(81/522, 823/787, 212/210) = 14132556

LCM of 81/522, 823/787, 212/210

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 81/522,823/787,212/210

Given numbers are 81/522,823/787,212/210

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 81,823,212

Least Common Multiple of Numerators i.e. LCM of 81,823,212 is 14132556.

GCF of Denominators means GCF of 522,787,210 as per the given fractions.

GCF of 522,787,210 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,823,212

LCM of Fractions 81/522,823/787,212/210 is 14132556

Given numbers has no common factors except 1. So, there LCM is their product i.e 14132556

Least Common Multiple of 81,823,212 with GCF Formula

Least Common Multiple of 81,823,212 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 81,823,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,823,212) = 1

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

GCF(81,823,212) x common factors =1 x 1 = 1

LCM(81,823,212) = ( 81 × 823 × 212 ) / 1

LCM(81,823,212) = 14132556 / 1

LCM(81,823,212) = 14132556


Lets's calculate GCF of 522,787,210

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14132556/1

Therefore the LCM of Fractions 81/522,823/787,212/210 is 14132556

Greatest Common Factor of 522,787,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,787,210 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 522,787,210 . The biggest common factor number is the GCF number.
So the greatest common factor 522,787,210 is 1.


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 81/522, 823/787, 212/210

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 81/522, 823/787, 212/210?

Answer: LCM of Numerators as per given numbers 81/522, 823/787, 212/210 is

LCM of Numerators i.e. for 81,823,212 is 14132556

GCF of denominators i.e. for 522,787,210 is 1.

Thus, LCM of Fractions is 14132556.Finally, LCM of Fractions for 81/522, 823/787, 212/210 is 14132556.