Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 325/25, 780/50, 712/947 quickly i.e. 694200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 325/25, 780/50, 712/947 is 694200.
LCM(325/25, 780/50, 712/947) = 694200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 325/25,780/50,712/947
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 325,780,712
Least Common Multiple of Numerators i.e. LCM of 325,780,712 is 694200.
GCF of Denominators means GCF of 25,50,947 as per the given fractions.
GCF of 25,50,947 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 325,780,712
2 | 325, 780, 712 |
2 | 325, 390, 356 |
5 | 325, 195, 178 |
13 | 65, 39, 178 |
5, 3, 178 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 5 x 3 x 178 = 694200
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 325,780,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,780,712) = 1
common factors(in case of two or more numbers have common factors) = 260
GCF(325,780,712) x common factors =1 x 260 = 260
LCM(325,780,712) = ( 325 × 780 × 712 ) / 260
LCM(325,780,712) = 180492000 / 260
LCM(325,780,712) = 694200
Lets's calculate GCF of 25,50,947
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 694200/1
Therefore the LCM of Fractions 325/25,780/50,712/947 is 694200
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Greatest Common Factor
We found the factors 25,50,947 . The biggest common factor number is the GCF number.
So the greatest common factor 25,50,947 is 1.
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 325/25, 780/50, 712/947?
Answer: LCM of Numerators as per given numbers 325/25, 780/50, 712/947 is
LCM of Numerators i.e. for 325,780,712 is 694200
GCF of denominators i.e. for 25,50,947 is 1.
Thus, LCM of Fractions is 694200.Finally, LCM of Fractions for 325/25, 780/50, 712/947 is 694200.