Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/957, 64/828, 336/171 quickly i.e. 29120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/957, 64/828, 336/171 is 29120.
LCM(65/957, 64/828, 336/171) = 29120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/957,64/828,336/171
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 65,64,336
Least Common Multiple of Numerators i.e. LCM of 65,64,336 is 87360.
GCF of Denominators means GCF of 957,828,171 as per the given fractions.
GCF of 957,828,171 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,64,336
2 | 65, 64, 336 |
2 | 65, 32, 168 |
2 | 65, 16, 84 |
2 | 65, 8, 42 |
65, 4, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 65 x 4 x 21 = 87360
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 65,64,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,64,336) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(65,64,336) x common factors =1 x 16 = 16
LCM(65,64,336) = ( 65 × 64 × 336 ) / 16
LCM(65,64,336) = 1397760 / 16
LCM(65,64,336) = 87360
Lets's calculate GCF of 957,828,171
3 | 957, 828, 171 |
319, 276, 57 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87360/3
Therefore the LCM of Fractions 65/957,64/828,336/171 is 29120
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Factors of 171
List of positive integer factors of 171 that divides 171 without a remainder.
1,3,9,19,57,171
Greatest Common Factor
We found the factors 957,828,171 . The biggest common factor number is the GCF number.
So the greatest common factor 957,828,171 is 3.
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 65/957, 64/828, 336/171?
Answer: LCM of Numerators as per given numbers 65/957, 64/828, 336/171 is
LCM of Numerators i.e. for 65,64,336 is 87360
GCF of denominators i.e. for 957,828,171 is 3.
Thus, LCM of Fractions is 29120.Finally, LCM of Fractions for 65/957, 64/828, 336/171 is 29120.