Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 142/68, 898/11, 384/306 quickly i.e. 12241536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 142/68, 898/11, 384/306 is 12241536.
LCM(142/68, 898/11, 384/306) = 12241536
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 142/68,898/11,384/306
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 142,898,384
Least Common Multiple of Numerators i.e. LCM of 142,898,384 is 12241536.
GCF of Denominators means GCF of 68,11,306 as per the given fractions.
GCF of 68,11,306 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 142,898,384
2 | 142, 898, 384 |
71, 449, 192 |
∴ So the LCM of the given numbers is 2 x 71 x 449 x 192 = 12241536
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 142,898,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,898,384) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(142,898,384) x common factors =2 x 2 = 4
LCM(142,898,384) = ( 142 × 898 × 384 ) / 4
LCM(142,898,384) = 48966144 / 4
LCM(142,898,384) = 12241536
Lets's calculate GCF of 68,11,306
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12241536/1
Therefore the LCM of Fractions 142/68,898/11,384/306 is 12241536
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
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 68,11,306 . The biggest common factor number is the GCF number.
So the greatest common factor 68,11,306 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 142/68, 898/11, 384/306?
Answer: LCM of Numerators as per given numbers 142/68, 898/11, 384/306 is
LCM of Numerators i.e. for 142,898,384 is 12241536
GCF of denominators i.e. for 68,11,306 is 1.
Thus, LCM of Fractions is 12241536.Finally, LCM of Fractions for 142/68, 898/11, 384/306 is 12241536.