Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2962/30, 9158/549 quickly i.e. 13562998/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2962/30, 9158/549 is 13562998/3.
LCM(2962/30, 9158/549) = 13562998/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2962/30,9158/549
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 2962,9158
Least Common Multiple of Numerators i.e. LCM of 2962,9158 is 13562998.
GCF of Denominators means GCF of 30,549 as per the given fractions.
GCF of 30,549 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2962,9158
2 | 2962, 9158 |
1481, 4579 |
∴ So the LCM of the given numbers is 2 x 1481 x 4579 = 13562998
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 2962,9158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2962,9158) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(2962,9158) x common factors =2 x 1 = 2
LCM(2962,9158) = ( 2962 × 9158 ) / 2
LCM(2962,9158) = 27125996 / 2
LCM(2962,9158) = 13562998
Lets's calculate GCF of 30,549
3 | 30, 549 |
10, 183 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13562998/3
Therefore the LCM of Fractions 2962/30,9158/549 is 13562998/3
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Greatest Common Factor
We found the factors 30,549 . The biggest common factor number is the GCF number.
So the greatest common factor 30,549 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 2962/30, 9158/549?
Answer: LCM of Numerators as per given numbers 2962/30, 9158/549 is
LCM of Numerators i.e. for 2962,9158 is 13562998
GCF of denominators i.e. for 30,549 is 3.
Thus, LCM of Fractions is 13562998/3.Finally, LCM of Fractions for 2962/30, 9158/549 is 13562998/3.