Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 787/640, 5034/264 quickly i.e. 3961758/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 787/640, 5034/264 is 3961758/8.
LCM(787/640, 5034/264) = 3961758/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 787/640,5034/264
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 787,5034
Least Common Multiple of Numerators i.e. LCM of 787,5034 is 3961758.
GCF of Denominators means GCF of 640,264 as per the given fractions.
GCF of 640,264 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 787,5034
Given numbers has no common factors except 1. So, there LCM is their product i.e 3961758
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 787,5034 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(787,5034) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(787,5034) x common factors =1 x 1 = 1
LCM(787,5034) = ( 787 × 5034 ) / 1
LCM(787,5034) = 3961758 / 1
LCM(787,5034) = 3961758
Lets's calculate GCF of 640,264
2 | 640, 264 |
2 | 320, 132 |
2 | 160, 66 |
80, 33 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3961758/8
Therefore the LCM of Fractions 787/640,5034/264 is 3961758/8
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Factors of 264
List of positive integer factors of 264 that divides 264 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Greatest Common Factor
We found the factors 640,264 . The biggest common factor number is the GCF number.
So the greatest common factor 640,264 is 8.
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 787/640, 5034/264?
Answer: LCM of Numerators as per given numbers 787/640, 5034/264 is
LCM of Numerators i.e. for 787,5034 is 3961758
GCF of denominators i.e. for 640,264 is 8.
Thus, LCM of Fractions is 3961758/8.Finally, LCM of Fractions for 787/640, 5034/264 is 3961758/8.