Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/555, 55/727, 258/533 quickly i.e. 70950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/555, 55/727, 258/533 is 70950.
LCM(50/555, 55/727, 258/533) = 70950
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/555,55/727,258/533
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 50,55,258
Least Common Multiple of Numerators i.e. LCM of 50,55,258 is 70950.
GCF of Denominators means GCF of 555,727,533 as per the given fractions.
GCF of 555,727,533 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,55,258
2 | 50, 55, 258 |
5 | 25, 55, 129 |
5, 11, 129 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 11 x 129 = 70950
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 50,55,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,55,258) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(50,55,258) x common factors =1 x 10 = 10
LCM(50,55,258) = ( 50 × 55 × 258 ) / 10
LCM(50,55,258) = 709500 / 10
LCM(50,55,258) = 70950
Lets's calculate GCF of 555,727,533
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70950/1
Therefore the LCM of Fractions 50/555,55/727,258/533 is 70950
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Factors of 727
List of positive integer factors of 727 that divides 727 without a remainder.
1,727
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1,13,41,533
Greatest Common Factor
We found the factors 555,727,533 . The biggest common factor number is the GCF number.
So the greatest common factor 555,727,533 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 50/555, 55/727, 258/533?
Answer: LCM of Numerators as per given numbers 50/555, 55/727, 258/533 is
LCM of Numerators i.e. for 50,55,258 is 70950
GCF of denominators i.e. for 555,727,533 is 1.
Thus, LCM of Fractions is 70950.Finally, LCM of Fractions for 50/555, 55/727, 258/533 is 70950.