Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2979/717, 9080/3318 quickly i.e. 9016440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2979/717, 9080/3318 is 9016440.
LCM(2979/717, 9080/3318) = 9016440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2979/717,9080/3318
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 2979,9080
Least Common Multiple of Numerators i.e. LCM of 2979,9080 is 27049320.
GCF of Denominators means GCF of 717,3318 as per the given fractions.
GCF of 717,3318 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2979,9080
Given numbers has no common factors except 1. So, there LCM is their product i.e 27049320
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 2979,9080 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2979,9080) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2979,9080) x common factors =1 x 1 = 1
LCM(2979,9080) = ( 2979 × 9080 ) / 1
LCM(2979,9080) = 27049320 / 1
LCM(2979,9080) = 27049320
Lets's calculate GCF of 717,3318
3 | 717, 3318 |
239, 1106 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27049320/3
Therefore the LCM of Fractions 2979/717,9080/3318 is 9016440
Factors of 717
List of positive integer factors of 717 that divides 717 without a remainder.
1,3,239,717
Factors of 3318
List of positive integer factors of 3318 that divides 3318 without a remainder.
1,2,3,6,7,14,21,42,79,158,237,474,553,1106,1659,3318
Greatest Common Factor
We found the factors 717,3318 . The biggest common factor number is the GCF number.
So the greatest common factor 717,3318 is 3.
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 2979/717, 9080/3318?
Answer: LCM of Numerators as per given numbers 2979/717, 9080/3318 is
LCM of Numerators i.e. for 2979,9080 is 27049320
GCF of denominators i.e. for 717,3318 is 3.
Thus, LCM of Fractions is 9016440.Finally, LCM of Fractions for 2979/717, 9080/3318 is 9016440.