Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 558/798, 3383/306 quickly i.e. 314619 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 558/798, 3383/306 is 314619.
LCM(558/798, 3383/306) = 314619
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 558/798,3383/306
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 558,3383
Least Common Multiple of Numerators i.e. LCM of 558,3383 is 1887714.
GCF of Denominators means GCF of 798,306 as per the given fractions.
GCF of 798,306 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 558,3383
Given numbers has no common factors except 1. So, there LCM is their product i.e 1887714
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 558,3383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,3383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(558,3383) x common factors =1 x 1 = 1
LCM(558,3383) = ( 558 × 3383 ) / 1
LCM(558,3383) = 1887714 / 1
LCM(558,3383) = 1887714
Lets's calculate GCF of 798,306
2 | 798, 306 |
3 | 399, 153 |
133, 51 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1887714/6
Therefore the LCM of Fractions 558/798,3383/306 is 314619
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 306
List of positive integer factors of 306 that divides 306 without a remainder.
1,2,3,6,9,17,18,34,51,102,153,306
Greatest Common Factor
We found the factors 798,306 . The biggest common factor number is the GCF number.
So the greatest common factor 798,306 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 558/798, 3383/306?
Answer: LCM of Numerators as per given numbers 558/798, 3383/306 is
LCM of Numerators i.e. for 558,3383 is 1887714
GCF of denominators i.e. for 798,306 is 6.
Thus, LCM of Fractions is 314619.Finally, LCM of Fractions for 558/798, 3383/306 is 314619.