Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/144, 58/438, 788/474 quickly i.e. 159964/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/144, 58/438, 788/474 is 159964/6.
LCM(28/144, 58/438, 788/474) = 159964/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/144,58/438,788/474
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 28,58,788
Least Common Multiple of Numerators i.e. LCM of 28,58,788 is 159964.
GCF of Denominators means GCF of 144,438,474 as per the given fractions.
GCF of 144,438,474 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,58,788
2 | 28, 58, 788 |
2 | 14, 29, 394 |
7, 29, 197 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 29 x 197 = 159964
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 28,58,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,58,788) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(28,58,788) x common factors =2 x 4 = 8
LCM(28,58,788) = ( 28 × 58 × 788 ) / 8
LCM(28,58,788) = 1279712 / 8
LCM(28,58,788) = 159964
Lets's calculate GCF of 144,438,474
2 | 144, 438, 474 |
3 | 72, 219, 237 |
24, 73, 79 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159964/6
Therefore the LCM of Fractions 28/144,58/438,788/474 is 159964/6
Factors of 144
List of positive integer factors of 144 that divides 144 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,72,144
Factors of 438
List of positive integer factors of 438 that divides 438 without a remainder.
1,2,3,6,73,146,219,438
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 144,438,474 . The biggest common factor number is the GCF number.
So the greatest common factor 144,438,474 is 6.
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 28/144, 58/438, 788/474?
Answer: LCM of Numerators as per given numbers 28/144, 58/438, 788/474 is
LCM of Numerators i.e. for 28,58,788 is 159964
GCF of denominators i.e. for 144,438,474 is 6.
Thus, LCM of Fractions is 159964/6.Finally, LCM of Fractions for 28/144, 58/438, 788/474 is 159964/6.