Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/76, 98/46, 75/868 quickly i.e. 33075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/76, 98/46, 75/868 is 33075.
LCM(54/76, 98/46, 75/868) = 33075
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/76,98/46,75/868
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 54,98,75
Least Common Multiple of Numerators i.e. LCM of 54,98,75 is 66150.
GCF of Denominators means GCF of 76,46,868 as per the given fractions.
GCF of 76,46,868 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,98,75
2 | 54, 98, 75 |
3 | 27, 49, 75 |
9, 49, 25 |
∴ So the LCM of the given numbers is 2 x 3 x 9 x 49 x 25 = 66150
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 54,98,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,98,75) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(54,98,75) x common factors =1 x 6 = 6
LCM(54,98,75) = ( 54 × 98 × 75 ) / 6
LCM(54,98,75) = 396900 / 6
LCM(54,98,75) = 66150
Lets's calculate GCF of 76,46,868
2 | 76, 46, 868 |
38, 23, 434 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66150/2
Therefore the LCM of Fractions 54/76,98/46,75/868 is 33075
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Greatest Common Factor
We found the factors 76,46,868 . The biggest common factor number is the GCF number.
So the greatest common factor 76,46,868 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 54/76, 98/46, 75/868?
Answer: LCM of Numerators as per given numbers 54/76, 98/46, 75/868 is
LCM of Numerators i.e. for 54,98,75 is 66150
GCF of denominators i.e. for 76,46,868 is 2.
Thus, LCM of Fractions is 33075.Finally, LCM of Fractions for 54/76, 98/46, 75/868 is 33075.