Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 522/802, 188/575 quickly i.e. 49068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 522/802, 188/575 is 49068.
LCM(522/802, 188/575) = 49068
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 522/802,188/575
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 522,188
Least Common Multiple of Numerators i.e. LCM of 522,188 is 49068.
GCF of Denominators means GCF of 802,575 as per the given fractions.
GCF of 802,575 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 522,188
2 | 522, 188 |
261, 94 |
∴ So the LCM of the given numbers is 2 x 261 x 94 = 49068
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 522,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,188) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(522,188) x common factors =2 x 1 = 2
LCM(522,188) = ( 522 × 188 ) / 2
LCM(522,188) = 98136 / 2
LCM(522,188) = 49068
Lets's calculate GCF of 802,575
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49068/1
Therefore the LCM of Fractions 522/802,188/575 is 49068
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Factors of 575
List of positive integer factors of 575 that divides 575 without a remainder.
1,5,23,25,115,575
Greatest Common Factor
We found the factors 802,575 . The biggest common factor number is the GCF number.
So the greatest common factor 802,575 is 1.
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 522/802, 188/575?
Answer: LCM of Numerators as per given numbers 522/802, 188/575 is
LCM of Numerators i.e. for 522,188 is 49068
GCF of denominators i.e. for 802,575 is 1.
Thus, LCM of Fractions is 49068.Finally, LCM of Fractions for 522/802, 188/575 is 49068.