Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/50, 46/89, 526/510 quickly i.e. 387136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/50, 46/89, 526/510 is 387136.
LCM(64/50, 46/89, 526/510) = 387136
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/50,46/89,526/510
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 64,46,526
Least Common Multiple of Numerators i.e. LCM of 64,46,526 is 387136.
GCF of Denominators means GCF of 50,89,510 as per the given fractions.
GCF of 50,89,510 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,46,526
2 | 64, 46, 526 |
32, 23, 263 |
∴ So the LCM of the given numbers is 2 x 32 x 23 x 263 = 387136
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 64,46,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,46,526) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(64,46,526) x common factors =2 x 2 = 4
LCM(64,46,526) = ( 64 × 46 × 526 ) / 4
LCM(64,46,526) = 1548544 / 4
LCM(64,46,526) = 387136
Lets's calculate GCF of 50,89,510
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 387136/1
Therefore the LCM of Fractions 64/50,46/89,526/510 is 387136
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Greatest Common Factor
We found the factors 50,89,510 . The biggest common factor number is the GCF number.
So the greatest common factor 50,89,510 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 64/50, 46/89, 526/510?
Answer: LCM of Numerators as per given numbers 64/50, 46/89, 526/510 is
LCM of Numerators i.e. for 64,46,526 is 387136
GCF of denominators i.e. for 50,89,510 is 1.
Thus, LCM of Fractions is 387136.Finally, LCM of Fractions for 64/50, 46/89, 526/510 is 387136.