Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 387/782, 647/782 quickly i.e. 250389/782 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 387/782, 647/782 is 250389/782.
LCM(387/782, 647/782) = 250389/782
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 387/782,647/782
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 387,647
Least Common Multiple of Numerators i.e. LCM of 387,647 is 250389.
GCF of Denominators means GCF of 782,782 as per the given fractions.
GCF of 782,782 is 782 as it is the largest common factor for these numbers.
Lets's calculate LCM of 387,647
Given numbers has no common factors except 1. So, there LCM is their product i.e 250389
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 387,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,647) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(387,647) x common factors =1 x 1 = 1
LCM(387,647) = ( 387 × 647 ) / 1
LCM(387,647) = 250389 / 1
LCM(387,647) = 250389
Lets's calculate GCF of 782,782
2 | 782, 782 |
17 | 391, 391 |
23 | 23, 23 |
1, 1 |
∴ So the GCF of the given numbers is 2 x 17 x 23 = 782
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 250389/782
Therefore the LCM of Fractions 387/782,647/782 is 250389/782
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Greatest Common Factor
We found the factors 782,782 . The biggest common factor number is the GCF number.
So the greatest common factor 782,782 is 782.
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 387/782, 647/782?
Answer: LCM of Numerators as per given numbers 387/782, 647/782 is
LCM of Numerators i.e. for 387,647 is 250389
GCF of denominators i.e. for 782,782 is 782.
Thus, LCM of Fractions is 250389/782.Finally, LCM of Fractions for 387/782, 647/782 is 250389/782.