Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/54, 524/50, 906/147 quickly i.e. 949488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/54, 524/50, 906/147 is 949488.
LCM(48/54, 524/50, 906/147) = 949488
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/54,524/50,906/147
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 48,524,906
Least Common Multiple of Numerators i.e. LCM of 48,524,906 is 949488.
GCF of Denominators means GCF of 54,50,147 as per the given fractions.
GCF of 54,50,147 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,524,906
2 | 48, 524, 906 |
2 | 24, 262, 453 |
3 | 12, 131, 453 |
4, 131, 151 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 131 x 151 = 949488
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 48,524,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,524,906) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(48,524,906) x common factors =2 x 12 = 24
LCM(48,524,906) = ( 48 × 524 × 906 ) / 24
LCM(48,524,906) = 22787712 / 24
LCM(48,524,906) = 949488
Lets's calculate GCF of 54,50,147
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 949488/1
Therefore the LCM of Fractions 48/54,524/50,906/147 is 949488
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 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Greatest Common Factor
We found the factors 54,50,147 . The biggest common factor number is the GCF number.
So the greatest common factor 54,50,147 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 48/54, 524/50, 906/147?
Answer: LCM of Numerators as per given numbers 48/54, 524/50, 906/147 is
LCM of Numerators i.e. for 48,524,906 is 949488
GCF of denominators i.e. for 54,50,147 is 1.
Thus, LCM of Fractions is 949488.Finally, LCM of Fractions for 48/54, 524/50, 906/147 is 949488.