Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 934/583, 782/502 quickly i.e. 365194 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 934/583, 782/502 is 365194.
LCM(934/583, 782/502) = 365194
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 934/583,782/502
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 934,782
Least Common Multiple of Numerators i.e. LCM of 934,782 is 365194.
GCF of Denominators means GCF of 583,502 as per the given fractions.
GCF of 583,502 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 934,782
2 | 934, 782 |
467, 391 |
∴ So the LCM of the given numbers is 2 x 467 x 391 = 365194
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 934,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(934,782) x common factors =2 x 1 = 2
LCM(934,782) = ( 934 × 782 ) / 2
LCM(934,782) = 730388 / 2
LCM(934,782) = 365194
Lets's calculate GCF of 583,502
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 365194/1
Therefore the LCM of Fractions 934/583,782/502 is 365194
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Greatest Common Factor
We found the factors 583,502 . The biggest common factor number is the GCF number.
So the greatest common factor 583,502 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 934/583, 782/502?
Answer: LCM of Numerators as per given numbers 934/583, 782/502 is
LCM of Numerators i.e. for 934,782 is 365194
GCF of denominators i.e. for 583,502 is 1.
Thus, LCM of Fractions is 365194.Finally, LCM of Fractions for 934/583, 782/502 is 365194.