Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/966, 87/294, 784/500 quickly i.e. 1261848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/966, 87/294, 784/500 is 1261848.
LCM(74/966, 87/294, 784/500) = 1261848
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/966,87/294,784/500
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 74,87,784
Least Common Multiple of Numerators i.e. LCM of 74,87,784 is 2523696.
GCF of Denominators means GCF of 966,294,500 as per the given fractions.
GCF of 966,294,500 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,87,784
2 | 74, 87, 784 |
37, 87, 392 |
∴ So the LCM of the given numbers is 2 x 37 x 87 x 392 = 2523696
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 74,87,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,87,784) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(74,87,784) x common factors =1 x 2 = 2
LCM(74,87,784) = ( 74 × 87 × 784 ) / 2
LCM(74,87,784) = 5047392 / 2
LCM(74,87,784) = 2523696
Lets's calculate GCF of 966,294,500
2 | 966, 294, 500 |
483, 147, 250 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2523696/2
Therefore the LCM of Fractions 74/966,87/294,784/500 is 1261848
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 966,294,500 . The biggest common factor number is the GCF number.
So the greatest common factor 966,294,500 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 74/966, 87/294, 784/500?
Answer: LCM of Numerators as per given numbers 74/966, 87/294, 784/500 is
LCM of Numerators i.e. for 74,87,784 is 2523696
GCF of denominators i.e. for 966,294,500 is 2.
Thus, LCM of Fractions is 1261848.Finally, LCM of Fractions for 74/966, 87/294, 784/500 is 1261848.