Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/868, 55/152, 784/620 quickly i.e. 247940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/868, 55/152, 784/620 is 247940.
LCM(23/868, 55/152, 784/620) = 247940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/868,55/152,784/620
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 23,55,784
Least Common Multiple of Numerators i.e. LCM of 23,55,784 is 991760.
GCF of Denominators means GCF of 868,152,620 as per the given fractions.
GCF of 868,152,620 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,55,784
Given numbers has no common factors except 1. So, there LCM is their product i.e 991760
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 23,55,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,55,784) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,55,784) x common factors =1 x 1 = 1
LCM(23,55,784) = ( 23 × 55 × 784 ) / 1
LCM(23,55,784) = 991760 / 1
LCM(23,55,784) = 991760
Lets's calculate GCF of 868,152,620
2 | 868, 152, 620 |
2 | 434, 76, 310 |
217, 38, 155 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 991760/4
Therefore the LCM of Fractions 23/868,55/152,784/620 is 247940
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Greatest Common Factor
We found the factors 868,152,620 . The biggest common factor number is the GCF number.
So the greatest common factor 868,152,620 is 4.
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 23/868, 55/152, 784/620?
Answer: LCM of Numerators as per given numbers 23/868, 55/152, 784/620 is
LCM of Numerators i.e. for 23,55,784 is 991760
GCF of denominators i.e. for 868,152,620 is 4.
Thus, LCM of Fractions is 247940.Finally, LCM of Fractions for 23/868, 55/152, 784/620 is 247940.