Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/67, 30/92, 28/99, 12/462 quickly i.e. 420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/67, 30/92, 28/99, 12/462 is 420.
LCM(28/67, 30/92, 28/99, 12/462) = 420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/67,30/92,28/99,12/462
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 28,30,28,12
Least Common Multiple of Numerators i.e. LCM of 28,30,28,12 is 420.
GCF of Denominators means GCF of 67,92,99,462 as per the given fractions.
GCF of 67,92,99,462 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,30,28,12
2 | 28, 30, 28, 12 |
2 | 14, 15, 14, 6 |
3 | 7, 15, 7, 3 |
7 | 7, 5, 7, 1 |
1, 5, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 5 x 1 x 1 = 420
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 28,30,28,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,30,28,12) = 2
common factors(in case of two or more numbers have common factors) = 336
GCF(28,30,28,12) x common factors =2 x 336 = 672
LCM(28,30,28,12) = ( 28 × 30 × 28 × 12 ) / 672
LCM(28,30,28,12) = 282240 / 672
LCM(28,30,28,12) = 420
Lets's calculate GCF of 67,92,99,462
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 420/1
Therefore the LCM of Fractions 28/67,30/92,28/99,12/462 is 420
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Greatest Common Factor
We found the factors 67,92,99,462 . The biggest common factor number is the GCF number.
So the greatest common factor 67,92,99,462 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 28/67, 30/92, 28/99, 12/462?
Answer: LCM of Numerators as per given numbers 28/67, 30/92, 28/99, 12/462 is
LCM of Numerators i.e. for 28,30,28,12 is 420
GCF of denominators i.e. for 67,92,99,462 is 1.
Thus, LCM of Fractions is 420.Finally, LCM of Fractions for 28/67, 30/92, 28/99, 12/462 is 420.