Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/594, 11/892, 501/635 quickly i.e. 159819 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/594, 11/892, 501/635 is 159819.
LCM(87/594, 11/892, 501/635) = 159819
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/594,11/892,501/635
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 87,11,501
Least Common Multiple of Numerators i.e. LCM of 87,11,501 is 159819.
GCF of Denominators means GCF of 594,892,635 as per the given fractions.
GCF of 594,892,635 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,11,501
3 | 87, 11, 501 |
29, 11, 167 |
∴ So the LCM of the given numbers is 3 x 29 x 11 x 167 = 159819
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 87,11,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,11,501) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(87,11,501) x common factors =1 x 3 = 3
LCM(87,11,501) = ( 87 × 11 × 501 ) / 3
LCM(87,11,501) = 479457 / 3
LCM(87,11,501) = 159819
Lets's calculate GCF of 594,892,635
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159819/1
Therefore the LCM of Fractions 87/594,11/892,501/635 is 159819
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Greatest Common Factor
We found the factors 594,892,635 . The biggest common factor number is the GCF number.
So the greatest common factor 594,892,635 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 87/594, 11/892, 501/635?
Answer: LCM of Numerators as per given numbers 87/594, 11/892, 501/635 is
LCM of Numerators i.e. for 87,11,501 is 159819
GCF of denominators i.e. for 594,892,635 is 1.
Thus, LCM of Fractions is 159819.Finally, LCM of Fractions for 87/594, 11/892, 501/635 is 159819.