Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 804/522, 877/213 quickly i.e. 235036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 804/522, 877/213 is 235036.
LCM(804/522, 877/213) = 235036
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 804/522,877/213
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 804,877
Least Common Multiple of Numerators i.e. LCM of 804,877 is 705108.
GCF of Denominators means GCF of 522,213 as per the given fractions.
GCF of 522,213 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 804,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 705108
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 804,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(804,877) x common factors =1 x 1 = 1
LCM(804,877) = ( 804 × 877 ) / 1
LCM(804,877) = 705108 / 1
LCM(804,877) = 705108
Lets's calculate GCF of 522,213
3 | 522, 213 |
174, 71 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 705108/3
Therefore the LCM of Fractions 804/522,877/213 is 235036
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 213
List of positive integer factors of 213 that divides 213 without a remainder.
1,3,71,213
Greatest Common Factor
We found the factors 522,213 . The biggest common factor number is the GCF number.
So the greatest common factor 522,213 is 3.
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 804/522, 877/213?
Answer: LCM of Numerators as per given numbers 804/522, 877/213 is
LCM of Numerators i.e. for 804,877 is 705108
GCF of denominators i.e. for 522,213 is 3.
Thus, LCM of Fractions is 235036.Finally, LCM of Fractions for 804/522, 877/213 is 235036.