Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/174, 50/209, 957/911 quickly i.e. 47850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/174, 50/209, 957/911 is 47850.
LCM(87/174, 50/209, 957/911) = 47850
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/174,50/209,957/911
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 87,50,957
Least Common Multiple of Numerators i.e. LCM of 87,50,957 is 47850.
GCF of Denominators means GCF of 174,209,911 as per the given fractions.
GCF of 174,209,911 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,50,957
3 | 87, 50, 957 |
29 | 29, 50, 319 |
1, 50, 11 |
∴ So the LCM of the given numbers is 3 x 29 x 1 x 50 x 11 = 47850
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 87,50,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,50,957) = 1
common factors(in case of two or more numbers have common factors) = 87
GCF(87,50,957) x common factors =1 x 87 = 87
LCM(87,50,957) = ( 87 × 50 × 957 ) / 87
LCM(87,50,957) = 4162950 / 87
LCM(87,50,957) = 47850
Lets's calculate GCF of 174,209,911
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47850/1
Therefore the LCM of Fractions 87/174,50/209,957/911 is 47850
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1,2,3,6,29,58,87,174
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
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 174,209,911 . The biggest common factor number is the GCF number.
So the greatest common factor 174,209,911 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 87/174, 50/209, 957/911?
Answer: LCM of Numerators as per given numbers 87/174, 50/209, 957/911 is
LCM of Numerators i.e. for 87,50,957 is 47850
GCF of denominators i.e. for 174,209,911 is 1.
Thus, LCM of Fractions is 47850.Finally, LCM of Fractions for 87/174, 50/209, 957/911 is 47850.