Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8585/293, 4380/786 quickly i.e. 7520460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8585/293, 4380/786 is 7520460.
LCM(8585/293, 4380/786) = 7520460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8585/293,4380/786
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 8585,4380
Least Common Multiple of Numerators i.e. LCM of 8585,4380 is 7520460.
GCF of Denominators means GCF of 293,786 as per the given fractions.
GCF of 293,786 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8585,4380
5 | 8585, 4380 |
1717, 876 |
∴ So the LCM of the given numbers is 5 x 1717 x 876 = 7520460
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 8585,4380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8585,4380) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(8585,4380) x common factors =5 x 1 = 5
LCM(8585,4380) = ( 8585 × 4380 ) / 5
LCM(8585,4380) = 37602300 / 5
LCM(8585,4380) = 7520460
Lets's calculate GCF of 293,786
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7520460/1
Therefore the LCM of Fractions 8585/293,4380/786 is 7520460
Factors of 293
List of positive integer factors of 293 that divides 293 without a remainder.
1,293
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 293,786 . The biggest common factor number is the GCF number.
So the greatest common factor 293,786 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 8585/293, 4380/786?
Answer: LCM of Numerators as per given numbers 8585/293, 4380/786 is
LCM of Numerators i.e. for 8585,4380 is 7520460
GCF of denominators i.e. for 293,786 is 1.
Thus, LCM of Fractions is 7520460.Finally, LCM of Fractions for 8585/293, 4380/786 is 7520460.