Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 755/522, 550/258, 245/911 quickly i.e. 4069450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 755/522, 550/258, 245/911 is 4069450.
LCM(755/522, 550/258, 245/911) = 4069450
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 755/522,550/258,245/911
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 755,550,245
Least Common Multiple of Numerators i.e. LCM of 755,550,245 is 4069450.
GCF of Denominators means GCF of 522,258,911 as per the given fractions.
GCF of 522,258,911 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 755,550,245
5 | 755, 550, 245 |
151, 110, 49 |
∴ So the LCM of the given numbers is 5 x 151 x 110 x 49 = 4069450
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 755,550,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(755,550,245) = 5
common factors(in case of two or more numbers have common factors) = 5
GCF(755,550,245) x common factors =5 x 5 = 25
LCM(755,550,245) = ( 755 × 550 × 245 ) / 25
LCM(755,550,245) = 101736250 / 25
LCM(755,550,245) = 4069450
Lets's calculate GCF of 522,258,911
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4069450/1
Therefore the LCM of Fractions 755/522,550/258,245/911 is 4069450
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Greatest Common Factor
We found the factors 522,258,911 . The biggest common factor number is the GCF number.
So the greatest common factor 522,258,911 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 755/522, 550/258, 245/911?
Answer: LCM of Numerators as per given numbers 755/522, 550/258, 245/911 is
LCM of Numerators i.e. for 755,550,245 is 4069450
GCF of denominators i.e. for 522,258,911 is 1.
Thus, LCM of Fractions is 4069450.Finally, LCM of Fractions for 755/522, 550/258, 245/911 is 4069450.