Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/29, 48/68, 24/34, 120/84 quickly i.e. 4560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/29, 48/68, 24/34, 120/84 is 4560.
LCM(38/29, 48/68, 24/34, 120/84) = 4560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/29,48/68,24/34,120/84
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 38,48,24,120
Least Common Multiple of Numerators i.e. LCM of 38,48,24,120 is 4560.
GCF of Denominators means GCF of 29,68,34,84 as per the given fractions.
GCF of 29,68,34,84 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,48,24,120
2 | 38, 48, 24, 120 |
2 | 19, 24, 12, 60 |
2 | 19, 6, 12, 30 |
3 | 19, 3, 6, 15 |
19, 1, 2, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 19 x 1 x 2 x 5 = 4560
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 38,48,24,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,48,24,120) = 2
common factors(in case of two or more numbers have common factors) = 576
GCF(38,48,24,120) x common factors =2 x 576 = 1152
LCM(38,48,24,120) = ( 38 × 48 × 24 × 120 ) / 1152
LCM(38,48,24,120) = 5253120 / 1152
LCM(38,48,24,120) = 4560
Lets's calculate GCF of 29,68,34,84
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4560/1
Therefore the LCM of Fractions 38/29,48/68,24/34,120/84 is 4560
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Greatest Common Factor
We found the factors 29,68,34,84 . The biggest common factor number is the GCF number.
So the greatest common factor 29,68,34,84 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 38/29, 48/68, 24/34, 120/84?
Answer: LCM of Numerators as per given numbers 38/29, 48/68, 24/34, 120/84 is
LCM of Numerators i.e. for 38,48,24,120 is 4560
GCF of denominators i.e. for 29,68,34,84 is 1.
Thus, LCM of Fractions is 4560.Finally, LCM of Fractions for 38/29, 48/68, 24/34, 120/84 is 4560.