Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/24, 32/74, 149/281 quickly i.e. 71520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/24, 32/74, 149/281 is 71520.
LCM(30/24, 32/74, 149/281) = 71520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/24,32/74,149/281
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 30,32,149
Least Common Multiple of Numerators i.e. LCM of 30,32,149 is 71520.
GCF of Denominators means GCF of 24,74,281 as per the given fractions.
GCF of 24,74,281 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,32,149
2 | 30, 32, 149 |
15, 16, 149 |
∴ So the LCM of the given numbers is 2 x 15 x 16 x 149 = 71520
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 30,32,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,32,149) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(30,32,149) x common factors =1 x 2 = 2
LCM(30,32,149) = ( 30 × 32 × 149 ) / 2
LCM(30,32,149) = 143040 / 2
LCM(30,32,149) = 71520
Lets's calculate GCF of 24,74,281
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71520/1
Therefore the LCM of Fractions 30/24,32/74,149/281 is 71520
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 281
List of positive integer factors of 281 that divides 281 without a remainder.
1,281
Greatest Common Factor
We found the factors 24,74,281 . The biggest common factor number is the GCF number.
So the greatest common factor 24,74,281 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 30/24, 32/74, 149/281?
Answer: LCM of Numerators as per given numbers 30/24, 32/74, 149/281 is
LCM of Numerators i.e. for 30,32,149 is 71520
GCF of denominators i.e. for 24,74,281 is 1.
Thus, LCM of Fractions is 71520.Finally, LCM of Fractions for 30/24, 32/74, 149/281 is 71520.