Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/526, 16/459, 568/151 quickly i.e. 51120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/526, 16/459, 568/151 is 51120.
LCM(45/526, 16/459, 568/151) = 51120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/526,16/459,568/151
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 45,16,568
Least Common Multiple of Numerators i.e. LCM of 45,16,568 is 51120.
GCF of Denominators means GCF of 526,459,151 as per the given fractions.
GCF of 526,459,151 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,16,568
2 | 45, 16, 568 |
2 | 45, 8, 284 |
2 | 45, 4, 142 |
45, 2, 71 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 45 x 2 x 71 = 51120
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 45,16,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,16,568) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(45,16,568) x common factors =1 x 8 = 8
LCM(45,16,568) = ( 45 × 16 × 568 ) / 8
LCM(45,16,568) = 408960 / 8
LCM(45,16,568) = 51120
Lets's calculate GCF of 526,459,151
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51120/1
Therefore the LCM of Fractions 45/526,16/459,568/151 is 51120
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Factors of 459
List of positive integer factors of 459 that divides 459 without a remainder.
1,3,9,17,27,51,153,459
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Greatest Common Factor
We found the factors 526,459,151 . The biggest common factor number is the GCF number.
So the greatest common factor 526,459,151 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 45/526, 16/459, 568/151?
Answer: LCM of Numerators as per given numbers 45/526, 16/459, 568/151 is
LCM of Numerators i.e. for 45,16,568 is 51120
GCF of denominators i.e. for 526,459,151 is 1.
Thus, LCM of Fractions is 51120.Finally, LCM of Fractions for 45/526, 16/459, 568/151 is 51120.