Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 651/58, 986/55, 998/15 quickly i.e. 320301114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 651/58, 986/55, 998/15 is 320301114.
LCM(651/58, 986/55, 998/15) = 320301114
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 651/58,986/55,998/15
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 651,986,998
Least Common Multiple of Numerators i.e. LCM of 651,986,998 is 320301114.
GCF of Denominators means GCF of 58,55,15 as per the given fractions.
GCF of 58,55,15 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 651,986,998
2 | 651, 986, 998 |
651, 493, 499 |
∴ So the LCM of the given numbers is 2 x 651 x 493 x 499 = 320301114
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 651,986,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,986,998) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(651,986,998) x common factors =1 x 2 = 2
LCM(651,986,998) = ( 651 × 986 × 998 ) / 2
LCM(651,986,998) = 640602228 / 2
LCM(651,986,998) = 320301114
Lets's calculate GCF of 58,55,15
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 320301114/1
Therefore the LCM of Fractions 651/58,986/55,998/15 is 320301114
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Greatest Common Factor
We found the factors 58,55,15 . The biggest common factor number is the GCF number.
So the greatest common factor 58,55,15 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 651/58, 986/55, 998/15?
Answer: LCM of Numerators as per given numbers 651/58, 986/55, 998/15 is
LCM of Numerators i.e. for 651,986,998 is 320301114
GCF of denominators i.e. for 58,55,15 is 1.
Thus, LCM of Fractions is 320301114.Finally, LCM of Fractions for 651/58, 986/55, 998/15 is 320301114.