Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/594, 375/704, 841/639 quickly i.e. 630750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/594, 375/704, 841/639 is 630750.
LCM(58/594, 375/704, 841/639) = 630750
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/594,375/704,841/639
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 58,375,841
Least Common Multiple of Numerators i.e. LCM of 58,375,841 is 630750.
GCF of Denominators means GCF of 594,704,639 as per the given fractions.
GCF of 594,704,639 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,375,841
29 | 58, 375, 841 |
2, 375, 29 |
∴ So the LCM of the given numbers is 29 x 2 x 375 x 29 = 630750
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 58,375,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,375,841) = 1
common factors(in case of two or more numbers have common factors) = 29
GCF(58,375,841) x common factors =1 x 29 = 29
LCM(58,375,841) = ( 58 × 375 × 841 ) / 29
LCM(58,375,841) = 18291750 / 29
LCM(58,375,841) = 630750
Lets's calculate GCF of 594,704,639
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 630750/1
Therefore the LCM of Fractions 58/594,375/704,841/639 is 630750
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 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Factors of 639
List of positive integer factors of 639 that divides 639 without a remainder.
1,3,9,71,213,639
Greatest Common Factor
We found the factors 594,704,639 . The biggest common factor number is the GCF number.
So the greatest common factor 594,704,639 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 58/594, 375/704, 841/639?
Answer: LCM of Numerators as per given numbers 58/594, 375/704, 841/639 is
LCM of Numerators i.e. for 58,375,841 is 630750
GCF of denominators i.e. for 594,704,639 is 1.
Thus, LCM of Fractions is 630750.Finally, LCM of Fractions for 58/594, 375/704, 841/639 is 630750.