Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/925, 65/346, 384/802 quickly i.e. 24960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/925, 65/346, 384/802 is 24960.
LCM(64/925, 65/346, 384/802) = 24960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/925,65/346,384/802
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 64,65,384
Least Common Multiple of Numerators i.e. LCM of 64,65,384 is 24960.
GCF of Denominators means GCF of 925,346,802 as per the given fractions.
GCF of 925,346,802 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,65,384
2 | 64, 65, 384 |
2 | 32, 65, 192 |
2 | 16, 65, 96 |
2 | 8, 65, 48 |
2 | 4, 65, 24 |
2 | 2, 65, 12 |
1, 65, 6 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 1 x 65 x 6 = 24960
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 64,65,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,65,384) = 1
common factors(in case of two or more numbers have common factors) = 64
GCF(64,65,384) x common factors =1 x 64 = 64
LCM(64,65,384) = ( 64 × 65 × 384 ) / 64
LCM(64,65,384) = 1597440 / 64
LCM(64,65,384) = 24960
Lets's calculate GCF of 925,346,802
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24960/1
Therefore the LCM of Fractions 64/925,65/346,384/802 is 24960
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1,5,25,37,185,925
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Greatest Common Factor
We found the factors 925,346,802 . The biggest common factor number is the GCF number.
So the greatest common factor 925,346,802 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 64/925, 65/346, 384/802?
Answer: LCM of Numerators as per given numbers 64/925, 65/346, 384/802 is
LCM of Numerators i.e. for 64,65,384 is 24960
GCF of denominators i.e. for 925,346,802 is 1.
Thus, LCM of Fractions is 24960.Finally, LCM of Fractions for 64/925, 65/346, 384/802 is 24960.