Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4780/372, 1615/8897 quickly i.e. 1543940/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4780/372, 1615/8897 is 1543940/31.
LCM(4780/372, 1615/8897) = 1543940/31
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4780/372,1615/8897
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 4780,1615
Least Common Multiple of Numerators i.e. LCM of 4780,1615 is 1543940.
GCF of Denominators means GCF of 372,8897 as per the given fractions.
GCF of 372,8897 is 31 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4780,1615
5 | 4780, 1615 |
956, 323 |
∴ So the LCM of the given numbers is 5 x 956 x 323 = 1543940
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 4780,1615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4780,1615) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(4780,1615) x common factors =5 x 1 = 5
LCM(4780,1615) = ( 4780 × 1615 ) / 5
LCM(4780,1615) = 7719700 / 5
LCM(4780,1615) = 1543940
Lets's calculate GCF of 372,8897
31 | 372, 8897 |
12, 287 |
∴ So the GCF of the given numbers is 31 = 31
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1543940/31
Therefore the LCM of Fractions 4780/372,1615/8897 is 1543940/31
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Factors of 8897
List of positive integer factors of 8897 that divides 8897 without a remainder.
1,7,31,41,217,287,1271,8897
Greatest Common Factor
We found the factors 372,8897 . The biggest common factor number is the GCF number.
So the greatest common factor 372,8897 is 31.
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 4780/372, 1615/8897?
Answer: LCM of Numerators as per given numbers 4780/372, 1615/8897 is
LCM of Numerators i.e. for 4780,1615 is 1543940
GCF of denominators i.e. for 372,8897 is 31.
Thus, LCM of Fractions is 1543940/31.Finally, LCM of Fractions for 4780/372, 1615/8897 is 1543940/31.