Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/833, 255/551, 325/781 quickly i.e. 513825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/833, 255/551, 325/781 is 513825.
LCM(93/833, 255/551, 325/781) = 513825
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/833,255/551,325/781
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 93,255,325
Least Common Multiple of Numerators i.e. LCM of 93,255,325 is 513825.
GCF of Denominators means GCF of 833,551,781 as per the given fractions.
GCF of 833,551,781 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,255,325
3 | 93, 255, 325 |
5 | 31, 85, 325 |
31, 17, 65 |
∴ So the LCM of the given numbers is 3 x 5 x 31 x 17 x 65 = 513825
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 93,255,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,255,325) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(93,255,325) x common factors =1 x 15 = 15
LCM(93,255,325) = ( 93 × 255 × 325 ) / 15
LCM(93,255,325) = 7707375 / 15
LCM(93,255,325) = 513825
Lets's calculate GCF of 833,551,781
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 513825/1
Therefore the LCM of Fractions 93/833,255/551,325/781 is 513825
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Factors of 551
List of positive integer factors of 551 that divides 551 without a remainder.
1,19,29,551
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Greatest Common Factor
We found the factors 833,551,781 . The biggest common factor number is the GCF number.
So the greatest common factor 833,551,781 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 93/833, 255/551, 325/781?
Answer: LCM of Numerators as per given numbers 93/833, 255/551, 325/781 is
LCM of Numerators i.e. for 93,255,325 is 513825
GCF of denominators i.e. for 833,551,781 is 1.
Thus, LCM of Fractions is 513825.Finally, LCM of Fractions for 93/833, 255/551, 325/781 is 513825.