Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/945, 17/666, 400/572 quickly i.e. 20400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/945, 17/666, 400/572 is 20400.
LCM(48/945, 17/666, 400/572) = 20400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/945,17/666,400/572
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 48,17,400
Least Common Multiple of Numerators i.e. LCM of 48,17,400 is 20400.
GCF of Denominators means GCF of 945,666,572 as per the given fractions.
GCF of 945,666,572 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,17,400
2 | 48, 17, 400 |
2 | 24, 17, 200 |
2 | 12, 17, 100 |
2 | 6, 17, 50 |
3, 17, 25 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 17 x 25 = 20400
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 48,17,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,17,400) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(48,17,400) x common factors =1 x 16 = 16
LCM(48,17,400) = ( 48 × 17 × 400 ) / 16
LCM(48,17,400) = 326400 / 16
LCM(48,17,400) = 20400
Lets's calculate GCF of 945,666,572
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20400/1
Therefore the LCM of Fractions 48/945,17/666,400/572 is 20400
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Greatest Common Factor
We found the factors 945,666,572 . The biggest common factor number is the GCF number.
So the greatest common factor 945,666,572 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 48/945, 17/666, 400/572?
Answer: LCM of Numerators as per given numbers 48/945, 17/666, 400/572 is
LCM of Numerators i.e. for 48,17,400 is 20400
GCF of denominators i.e. for 945,666,572 is 1.
Thus, LCM of Fractions is 20400.Finally, LCM of Fractions for 48/945, 17/666, 400/572 is 20400.