Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/490, 4948/5464 quickly i.e. 39584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/490, 4948/5464 is 39584.
LCM(64/490, 4948/5464) = 39584
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/490,4948/5464
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 64,4948
Least Common Multiple of Numerators i.e. LCM of 64,4948 is 79168.
GCF of Denominators means GCF of 490,5464 as per the given fractions.
GCF of 490,5464 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,4948
2 | 64, 4948 |
2 | 32, 2474 |
16, 1237 |
∴ So the LCM of the given numbers is 2 x 2 x 16 x 1237 = 79168
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 64,4948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,4948) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(64,4948) x common factors =4 x 1 = 4
LCM(64,4948) = ( 64 × 4948 ) / 4
LCM(64,4948) = 316672 / 4
LCM(64,4948) = 79168
Lets's calculate GCF of 490,5464
2 | 490, 5464 |
245, 2732 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79168/2
Therefore the LCM of Fractions 64/490,4948/5464 is 39584
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,490
Factors of 5464
List of positive integer factors of 5464 that divides 5464 without a remainder.
1,2,4,8,683,1366,2732,5464
Greatest Common Factor
We found the factors 490,5464 . The biggest common factor number is the GCF number.
So the greatest common factor 490,5464 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 64/490, 4948/5464?
Answer: LCM of Numerators as per given numbers 64/490, 4948/5464 is
LCM of Numerators i.e. for 64,4948 is 79168
GCF of denominators i.e. for 490,5464 is 2.
Thus, LCM of Fractions is 39584.Finally, LCM of Fractions for 64/490, 4948/5464 is 39584.