Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/798, 5850/5958 quickly i.e. 16575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/798, 5850/5958 is 16575.
LCM(51/798, 5850/5958) = 16575
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/798,5850/5958
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 51,5850
Least Common Multiple of Numerators i.e. LCM of 51,5850 is 99450.
GCF of Denominators means GCF of 798,5958 as per the given fractions.
GCF of 798,5958 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,5850
3 | 51, 5850 |
17, 1950 |
∴ So the LCM of the given numbers is 3 x 17 x 1950 = 99450
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 51,5850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,5850) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(51,5850) x common factors =3 x 1 = 3
LCM(51,5850) = ( 51 × 5850 ) / 3
LCM(51,5850) = 298350 / 3
LCM(51,5850) = 99450
Lets's calculate GCF of 798,5958
2 | 798, 5958 |
3 | 399, 2979 |
133, 993 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99450/6
Therefore the LCM of Fractions 51/798,5850/5958 is 16575
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Factors of 5958
List of positive integer factors of 5958 that divides 5958 without a remainder.
1,2,3,6,9,18,331,662,993,1986,2979,5958
Greatest Common Factor
We found the factors 798,5958 . The biggest common factor number is the GCF number.
So the greatest common factor 798,5958 is 6.
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 51/798, 5850/5958?
Answer: LCM of Numerators as per given numbers 51/798, 5850/5958 is
LCM of Numerators i.e. for 51,5850 is 99450
GCF of denominators i.e. for 798,5958 is 6.
Thus, LCM of Fractions is 16575.Finally, LCM of Fractions for 51/798, 5850/5958 is 16575.