Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 154/16, 887/75, 456/89 quickly i.e. 31144344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 154/16, 887/75, 456/89 is 31144344.
LCM(154/16, 887/75, 456/89) = 31144344
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 154/16,887/75,456/89
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 154,887,456
Least Common Multiple of Numerators i.e. LCM of 154,887,456 is 31144344.
GCF of Denominators means GCF of 16,75,89 as per the given fractions.
GCF of 16,75,89 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 154,887,456
2 | 154, 887, 456 |
77, 887, 228 |
∴ So the LCM of the given numbers is 2 x 77 x 887 x 228 = 31144344
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 154,887,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,887,456) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(154,887,456) x common factors =1 x 2 = 2
LCM(154,887,456) = ( 154 × 887 × 456 ) / 2
LCM(154,887,456) = 62288688 / 2
LCM(154,887,456) = 31144344
Lets's calculate GCF of 16,75,89
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31144344/1
Therefore the LCM of Fractions 154/16,887/75,456/89 is 31144344
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Greatest Common Factor
We found the factors 16,75,89 . The biggest common factor number is the GCF number.
So the greatest common factor 16,75,89 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 154/16, 887/75, 456/89?
Answer: LCM of Numerators as per given numbers 154/16, 887/75, 456/89 is
LCM of Numerators i.e. for 154,887,456 is 31144344
GCF of denominators i.e. for 16,75,89 is 1.
Thus, LCM of Fractions is 31144344.Finally, LCM of Fractions for 154/16, 887/75, 456/89 is 31144344.