Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4/64, 80/556, 41/634 quickly i.e. 1640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4/64, 80/556, 41/634 is 1640.
LCM(4/64, 80/556, 41/634) = 1640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4/64,80/556,41/634
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 4,80,41
Least Common Multiple of Numerators i.e. LCM of 4,80,41 is 3280.
GCF of Denominators means GCF of 64,556,634 as per the given fractions.
GCF of 64,556,634 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4,80,41
2 | 4, 80, 41 |
2 | 2, 40, 41 |
1, 20, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 1 x 20 x 41 = 3280
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 4,80,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4,80,41) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(4,80,41) x common factors =1 x 4 = 4
LCM(4,80,41) = ( 4 × 80 × 41 ) / 4
LCM(4,80,41) = 13120 / 4
LCM(4,80,41) = 3280
Lets's calculate GCF of 64,556,634
2 | 64, 556, 634 |
32, 278, 317 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3280/2
Therefore the LCM of Fractions 4/64,80/556,41/634 is 1640
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1,2,4,139,278,556
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Greatest Common Factor
We found the factors 64,556,634 . The biggest common factor number is the GCF number.
So the greatest common factor 64,556,634 is 2.
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 4/64, 80/556, 41/634?
Answer: LCM of Numerators as per given numbers 4/64, 80/556, 41/634 is
LCM of Numerators i.e. for 4,80,41 is 3280
GCF of denominators i.e. for 64,556,634 is 2.
Thus, LCM of Fractions is 1640.Finally, LCM of Fractions for 4/64, 80/556, 41/634 is 1640.