Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 934/61, 260/39, 432/276 quickly i.e. 13113360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 934/61, 260/39, 432/276 is 13113360.
LCM(934/61, 260/39, 432/276) = 13113360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 934/61,260/39,432/276
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 934,260,432
Least Common Multiple of Numerators i.e. LCM of 934,260,432 is 13113360.
GCF of Denominators means GCF of 61,39,276 as per the given fractions.
GCF of 61,39,276 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 934,260,432
2 | 934, 260, 432 |
2 | 467, 130, 216 |
467, 65, 108 |
∴ So the LCM of the given numbers is 2 x 2 x 467 x 65 x 108 = 13113360
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 934,260,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,260,432) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(934,260,432) x common factors =2 x 4 = 8
LCM(934,260,432) = ( 934 × 260 × 432 ) / 8
LCM(934,260,432) = 104906880 / 8
LCM(934,260,432) = 13113360
Lets's calculate GCF of 61,39,276
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13113360/1
Therefore the LCM of Fractions 934/61,260/39,432/276 is 13113360
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Greatest Common Factor
We found the factors 61,39,276 . The biggest common factor number is the GCF number.
So the greatest common factor 61,39,276 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 934/61, 260/39, 432/276?
Answer: LCM of Numerators as per given numbers 934/61, 260/39, 432/276 is
LCM of Numerators i.e. for 934,260,432 is 13113360
GCF of denominators i.e. for 61,39,276 is 1.
Thus, LCM of Fractions is 13113360.Finally, LCM of Fractions for 934/61, 260/39, 432/276 is 13113360.