Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/386, 99/982, 693/892 quickly i.e. 1386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/386, 99/982, 693/892 is 1386.
LCM(44/386, 99/982, 693/892) = 1386
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/386,99/982,693/892
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 44,99,693
Least Common Multiple of Numerators i.e. LCM of 44,99,693 is 2772.
GCF of Denominators means GCF of 386,982,892 as per the given fractions.
GCF of 386,982,892 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,99,693
3 | 44, 99, 693 |
3 | 44, 33, 231 |
11 | 44, 11, 77 |
4, 1, 7 |
∴ So the LCM of the given numbers is 3 x 3 x 11 x 4 x 1 x 7 = 2772
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 44,99,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,99,693) = 11
common factors(in case of two or more numbers have common factors) = 99
GCF(44,99,693) x common factors =11 x 99 = 1089
LCM(44,99,693) = ( 44 × 99 × 693 ) / 1089
LCM(44,99,693) = 3018708 / 1089
LCM(44,99,693) = 2772
Lets's calculate GCF of 386,982,892
2 | 386, 982, 892 |
193, 491, 446 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2772/2
Therefore the LCM of Fractions 44/386,99/982,693/892 is 1386
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Greatest Common Factor
We found the factors 386,982,892 . The biggest common factor number is the GCF number.
So the greatest common factor 386,982,892 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 44/386, 99/982, 693/892?
Answer: LCM of Numerators as per given numbers 44/386, 99/982, 693/892 is
LCM of Numerators i.e. for 44,99,693 is 2772
GCF of denominators i.e. for 386,982,892 is 2.
Thus, LCM of Fractions is 1386.Finally, LCM of Fractions for 44/386, 99/982, 693/892 is 1386.