Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 24/54, 35/18, 87/42, 48/691 quickly i.e. 48720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 24/54, 35/18, 87/42, 48/691 is 48720.
LCM(24/54, 35/18, 87/42, 48/691) = 48720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 24/54,35/18,87/42,48/691
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 24,35,87,48
Least Common Multiple of Numerators i.e. LCM of 24,35,87,48 is 48720.
GCF of Denominators means GCF of 54,18,42,691 as per the given fractions.
GCF of 54,18,42,691 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 24,35,87,48
2 | 24, 35, 87, 48 |
2 | 12, 35, 87, 24 |
2 | 6, 35, 87, 12 |
3 | 3, 35, 87, 6 |
1, 35, 29, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 35 x 29 x 2 = 48720
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 24,35,87,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,35,87,48) = 1
common factors(in case of two or more numbers have common factors) = 72
GCF(24,35,87,48) x common factors =1 x 72 = 72
LCM(24,35,87,48) = ( 24 × 35 × 87 × 48 ) / 72
LCM(24,35,87,48) = 3507840 / 72
LCM(24,35,87,48) = 48720
Lets's calculate GCF of 54,18,42,691
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48720/1
Therefore the LCM of Fractions 24/54,35/18,87/42,48/691 is 48720
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 691
List of positive integer factors of 691 that divides 691 without a remainder.
1,691
Greatest Common Factor
We found the factors 54,18,42,691 . The biggest common factor number is the GCF number.
So the greatest common factor 54,18,42,691 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 24/54, 35/18, 87/42, 48/691?
Answer: LCM of Numerators as per given numbers 24/54, 35/18, 87/42, 48/691 is
LCM of Numerators i.e. for 24,35,87,48 is 48720
GCF of denominators i.e. for 54,18,42,691 is 1.
Thus, LCM of Fractions is 48720.Finally, LCM of Fractions for 24/54, 35/18, 87/42, 48/691 is 48720.