Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 764/64, 248/7622 quickly i.e. 23684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 764/64, 248/7622 is 23684.
LCM(764/64, 248/7622) = 23684
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 764/64,248/7622
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 764,248
Least Common Multiple of Numerators i.e. LCM of 764,248 is 47368.
GCF of Denominators means GCF of 64,7622 as per the given fractions.
GCF of 64,7622 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 764,248
2 | 764, 248 |
2 | 382, 124 |
191, 62 |
∴ So the LCM of the given numbers is 2 x 2 x 191 x 62 = 47368
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 764,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,248) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(764,248) x common factors =4 x 1 = 4
LCM(764,248) = ( 764 × 248 ) / 4
LCM(764,248) = 189472 / 4
LCM(764,248) = 47368
Lets's calculate GCF of 64,7622
2 | 64, 7622 |
32, 3811 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47368/2
Therefore the LCM of Fractions 764/64,248/7622 is 23684
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 7622
List of positive integer factors of 7622 that divides 7622 without a remainder.
1,2,37,74,103,206,3811,7622
Greatest Common Factor
We found the factors 64,7622 . The biggest common factor number is the GCF number.
So the greatest common factor 64,7622 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 764/64, 248/7622?
Answer: LCM of Numerators as per given numbers 764/64, 248/7622 is
LCM of Numerators i.e. for 764,248 is 47368
GCF of denominators i.e. for 64,7622 is 2.
Thus, LCM of Fractions is 23684.Finally, LCM of Fractions for 764/64, 248/7622 is 23684.