Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8999/316, 3509/1102 quickly i.e. 31577491/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8999/316, 3509/1102 is 31577491/2.
LCM(8999/316, 3509/1102) = 31577491/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8999/316,3509/1102
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 8999,3509
Least Common Multiple of Numerators i.e. LCM of 8999,3509 is 31577491.
GCF of Denominators means GCF of 316,1102 as per the given fractions.
GCF of 316,1102 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8999,3509
Given numbers has no common factors except 1. So, there LCM is their product i.e 31577491
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 8999,3509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8999,3509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8999,3509) x common factors =1 x 1 = 1
LCM(8999,3509) = ( 8999 × 3509 ) / 1
LCM(8999,3509) = 31577491 / 1
LCM(8999,3509) = 31577491
Lets's calculate GCF of 316,1102
2 | 316, 1102 |
158, 551 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31577491/2
Therefore the LCM of Fractions 8999/316,3509/1102 is 31577491/2
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Factors of 1102
List of positive integer factors of 1102 that divides 1102 without a remainder.
1,2,19,29,38,58,551,1102
Greatest Common Factor
We found the factors 316,1102 . The biggest common factor number is the GCF number.
So the greatest common factor 316,1102 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 8999/316, 3509/1102?
Answer: LCM of Numerators as per given numbers 8999/316, 3509/1102 is
LCM of Numerators i.e. for 8999,3509 is 31577491
GCF of denominators i.e. for 316,1102 is 2.
Thus, LCM of Fractions is 31577491/2.Finally, LCM of Fractions for 8999/316, 3509/1102 is 31577491/2.