Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/28, 72/82, 714/199 quickly i.e. 94248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/28, 72/82, 714/199 is 94248.
LCM(11/28, 72/82, 714/199) = 94248
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/28,72/82,714/199
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 11,72,714
Least Common Multiple of Numerators i.e. LCM of 11,72,714 is 94248.
GCF of Denominators means GCF of 28,82,199 as per the given fractions.
GCF of 28,82,199 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,72,714
2 | 11, 72, 714 |
3 | 11, 36, 357 |
11, 12, 119 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 12 x 119 = 94248
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 11,72,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,72,714) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(11,72,714) x common factors =1 x 6 = 6
LCM(11,72,714) = ( 11 × 72 × 714 ) / 6
LCM(11,72,714) = 565488 / 6
LCM(11,72,714) = 94248
Lets's calculate GCF of 28,82,199
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94248/1
Therefore the LCM of Fractions 11/28,72/82,714/199 is 94248
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 199
List of positive integer factors of 199 that divides 199 without a remainder.
1,199
Greatest Common Factor
We found the factors 28,82,199 . The biggest common factor number is the GCF number.
So the greatest common factor 28,82,199 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 11/28, 72/82, 714/199?
Answer: LCM of Numerators as per given numbers 11/28, 72/82, 714/199 is
LCM of Numerators i.e. for 11,72,714 is 94248
GCF of denominators i.e. for 28,82,199 is 1.
Thus, LCM of Fractions is 94248.Finally, LCM of Fractions for 11/28, 72/82, 714/199 is 94248.