Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 758/93, 366/25, 966/539 quickly i.e. 22332954 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 758/93, 366/25, 966/539 is 22332954.
LCM(758/93, 366/25, 966/539) = 22332954
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 758/93,366/25,966/539
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 758,366,966
Least Common Multiple of Numerators i.e. LCM of 758,366,966 is 22332954.
GCF of Denominators means GCF of 93,25,539 as per the given fractions.
GCF of 93,25,539 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 758,366,966
2 | 758, 366, 966 |
3 | 379, 183, 483 |
379, 61, 161 |
∴ So the LCM of the given numbers is 2 x 3 x 379 x 61 x 161 = 22332954
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 758,366,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,366,966) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(758,366,966) x common factors =2 x 6 = 12
LCM(758,366,966) = ( 758 × 366 × 966 ) / 12
LCM(758,366,966) = 267995448 / 12
LCM(758,366,966) = 22332954
Lets's calculate GCF of 93,25,539
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22332954/1
Therefore the LCM of Fractions 758/93,366/25,966/539 is 22332954
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Greatest Common Factor
We found the factors 93,25,539 . The biggest common factor number is the GCF number.
So the greatest common factor 93,25,539 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 758/93, 366/25, 966/539?
Answer: LCM of Numerators as per given numbers 758/93, 366/25, 966/539 is
LCM of Numerators i.e. for 758,366,966 is 22332954
GCF of denominators i.e. for 93,25,539 is 1.
Thus, LCM of Fractions is 22332954.Finally, LCM of Fractions for 758/93, 366/25, 966/539 is 22332954.