Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 804/106, 862/326 quickly i.e. 173262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 804/106, 862/326 is 173262.
LCM(804/106, 862/326) = 173262
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 804/106,862/326
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 804,862
Least Common Multiple of Numerators i.e. LCM of 804,862 is 346524.
GCF of Denominators means GCF of 106,326 as per the given fractions.
GCF of 106,326 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 804,862
2 | 804, 862 |
402, 431 |
∴ So the LCM of the given numbers is 2 x 402 x 431 = 346524
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 804,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,862) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(804,862) x common factors =2 x 1 = 2
LCM(804,862) = ( 804 × 862 ) / 2
LCM(804,862) = 693048 / 2
LCM(804,862) = 346524
Lets's calculate GCF of 106,326
2 | 106, 326 |
53, 163 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 346524/2
Therefore the LCM of Fractions 804/106,862/326 is 173262
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Greatest Common Factor
We found the factors 106,326 . The biggest common factor number is the GCF number.
So the greatest common factor 106,326 is 2.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 804/106, 862/326?
Answer: LCM of Numerators as per given numbers 804/106, 862/326 is
LCM of Numerators i.e. for 804,862 is 346524
GCF of denominators i.e. for 106,326 is 2.
Thus, LCM of Fractions is 173262.Finally, LCM of Fractions for 804/106, 862/326 is 173262.