Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8987/353, 1745/5112 quickly i.e. 15682315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8987/353, 1745/5112 is 15682315.
LCM(8987/353, 1745/5112) = 15682315
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8987/353,1745/5112
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 8987,1745
Least Common Multiple of Numerators i.e. LCM of 8987,1745 is 15682315.
GCF of Denominators means GCF of 353,5112 as per the given fractions.
GCF of 353,5112 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8987,1745
Given numbers has no common factors except 1. So, there LCM is their product i.e 15682315
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 8987,1745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8987,1745) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8987,1745) x common factors =1 x 1 = 1
LCM(8987,1745) = ( 8987 × 1745 ) / 1
LCM(8987,1745) = 15682315 / 1
LCM(8987,1745) = 15682315
Lets's calculate GCF of 353,5112
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15682315/1
Therefore the LCM of Fractions 8987/353,1745/5112 is 15682315
Factors of 353
List of positive integer factors of 353 that divides 353 without a remainder.
1,353
Factors of 5112
List of positive integer factors of 5112 that divides 5112 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,71,72,142,213,284,426,568,639,852,1278,1704,2556,5112
Greatest Common Factor
We found the factors 353,5112 . The biggest common factor number is the GCF number.
So the greatest common factor 353,5112 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 8987/353, 1745/5112?
Answer: LCM of Numerators as per given numbers 8987/353, 1745/5112 is
LCM of Numerators i.e. for 8987,1745 is 15682315
GCF of denominators i.e. for 353,5112 is 1.
Thus, LCM of Fractions is 15682315.Finally, LCM of Fractions for 8987/353, 1745/5112 is 15682315.