Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 618/798, 888/836, 582/574 quickly i.e. 4436004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 618/798, 888/836, 582/574 is 4436004.
LCM(618/798, 888/836, 582/574) = 4436004
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 618/798,888/836,582/574
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 618,888,582
Least Common Multiple of Numerators i.e. LCM of 618,888,582 is 8872008.
GCF of Denominators means GCF of 798,836,574 as per the given fractions.
GCF of 798,836,574 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 618,888,582
2 | 618, 888, 582 |
3 | 309, 444, 291 |
103, 148, 97 |
∴ So the LCM of the given numbers is 2 x 3 x 103 x 148 x 97 = 8872008
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 618,888,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,888,582) = 6
common factors(in case of two or more numbers have common factors) = 6
GCF(618,888,582) x common factors =6 x 6 = 36
LCM(618,888,582) = ( 618 × 888 × 582 ) / 36
LCM(618,888,582) = 319392288 / 36
LCM(618,888,582) = 8872008
Lets's calculate GCF of 798,836,574
2 | 798, 836, 574 |
399, 418, 287 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8872008/2
Therefore the LCM of Fractions 618/798,888/836,582/574 is 4436004
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 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 798,836,574 . The biggest common factor number is the GCF number.
So the greatest common factor 798,836,574 is 2.
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 618/798, 888/836, 582/574?
Answer: LCM of Numerators as per given numbers 618/798, 888/836, 582/574 is
LCM of Numerators i.e. for 618,888,582 is 8872008
GCF of denominators i.e. for 798,836,574 is 2.
Thus, LCM of Fractions is 4436004.Finally, LCM of Fractions for 618/798, 888/836, 582/574 is 4436004.