Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/177, 44/486, 528/825 quickly i.e. 880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/177, 44/486, 528/825 is 880.
LCM(40/177, 44/486, 528/825) = 880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/177,44/486,528/825
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 40,44,528
Least Common Multiple of Numerators i.e. LCM of 40,44,528 is 2640.
GCF of Denominators means GCF of 177,486,825 as per the given fractions.
GCF of 177,486,825 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,44,528
2 | 40, 44, 528 |
2 | 20, 22, 264 |
2 | 10, 11, 132 |
11 | 5, 11, 66 |
5, 1, 6 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 5 x 1 x 6 = 2640
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 40,44,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,44,528) = 4
common factors(in case of two or more numbers have common factors) = 88
GCF(40,44,528) x common factors =4 x 88 = 352
LCM(40,44,528) = ( 40 × 44 × 528 ) / 352
LCM(40,44,528) = 929280 / 352
LCM(40,44,528) = 2640
Lets's calculate GCF of 177,486,825
3 | 177, 486, 825 |
59, 162, 275 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2640/3
Therefore the LCM of Fractions 40/177,44/486,528/825 is 880
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Factors of 486
List of positive integer factors of 486 that divides 486 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Greatest Common Factor
We found the factors 177,486,825 . The biggest common factor number is the GCF number.
So the greatest common factor 177,486,825 is 3.
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 40/177, 44/486, 528/825?
Answer: LCM of Numerators as per given numbers 40/177, 44/486, 528/825 is
LCM of Numerators i.e. for 40,44,528 is 2640
GCF of denominators i.e. for 177,486,825 is 3.
Thus, LCM of Fractions is 880.Finally, LCM of Fractions for 40/177, 44/486, 528/825 is 880.