Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/38, 60/48, 16/26, 24/600 quickly i.e. 3480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/38, 60/48, 16/26, 24/600 is 3480.
LCM(29/38, 60/48, 16/26, 24/600) = 3480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/38,60/48,16/26,24/600
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 29,60,16,24
Least Common Multiple of Numerators i.e. LCM of 29,60,16,24 is 6960.
GCF of Denominators means GCF of 38,48,26,600 as per the given fractions.
GCF of 38,48,26,600 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,60,16,24
2 | 29, 60, 16, 24 |
2 | 29, 30, 8, 12 |
2 | 29, 15, 4, 6 |
3 | 29, 15, 2, 3 |
29, 5, 2, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 29 x 5 x 2 x 1 = 6960
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 29,60,16,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,60,16,24) = 1
common factors(in case of two or more numbers have common factors) = 96
GCF(29,60,16,24) x common factors =1 x 96 = 96
LCM(29,60,16,24) = ( 29 × 60 × 16 × 24 ) / 96
LCM(29,60,16,24) = 668160 / 96
LCM(29,60,16,24) = 6960
Lets's calculate GCF of 38,48,26,600
2 | 38, 48, 26, 600 |
19, 24, 13, 300 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6960/2
Therefore the LCM of Fractions 29/38,60/48,16/26,24/600 is 3480
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 600
List of positive integer factors of 600 that divides 600 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Greatest Common Factor
We found the factors 38,48,26,600 . The biggest common factor number is the GCF number.
So the greatest common factor 38,48,26,600 is 2.
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 29/38, 60/48, 16/26, 24/600?
Answer: LCM of Numerators as per given numbers 29/38, 60/48, 16/26, 24/600 is
LCM of Numerators i.e. for 29,60,16,24 is 6960
GCF of denominators i.e. for 38,48,26,600 is 2.
Thus, LCM of Fractions is 3480.Finally, LCM of Fractions for 29/38, 60/48, 16/26, 24/600 is 3480.