Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/527, 672/627, 551/898 quickly i.e. 5554080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/527, 672/627, 551/898 is 5554080.
LCM(45/527, 672/627, 551/898) = 5554080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/527,672/627,551/898
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 45,672,551
Least Common Multiple of Numerators i.e. LCM of 45,672,551 is 5554080.
GCF of Denominators means GCF of 527,627,898 as per the given fractions.
GCF of 527,627,898 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,672,551
3 | 45, 672, 551 |
15, 224, 551 |
∴ So the LCM of the given numbers is 3 x 15 x 224 x 551 = 5554080
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 45,672,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,672,551) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(45,672,551) x common factors =1 x 3 = 3
LCM(45,672,551) = ( 45 × 672 × 551 ) / 3
LCM(45,672,551) = 16662240 / 3
LCM(45,672,551) = 5554080
Lets's calculate GCF of 527,627,898
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5554080/1
Therefore the LCM of Fractions 45/527,672/627,551/898 is 5554080
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1,17,31,527
Factors of 627
List of positive integer factors of 627 that divides 627 without a remainder.
1,3,11,19,33,57,209,627
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Greatest Common Factor
We found the factors 527,627,898 . The biggest common factor number is the GCF number.
So the greatest common factor 527,627,898 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 45/527, 672/627, 551/898?
Answer: LCM of Numerators as per given numbers 45/527, 672/627, 551/898 is
LCM of Numerators i.e. for 45,672,551 is 5554080
GCF of denominators i.e. for 527,627,898 is 1.
Thus, LCM of Fractions is 5554080.Finally, LCM of Fractions for 45/527, 672/627, 551/898 is 5554080.