Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 150/477, 183/712, 827/157 quickly i.e. 7567050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 150/477, 183/712, 827/157 is 7567050.
LCM(150/477, 183/712, 827/157) = 7567050
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 150/477,183/712,827/157
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 150,183,827
Least Common Multiple of Numerators i.e. LCM of 150,183,827 is 7567050.
GCF of Denominators means GCF of 477,712,157 as per the given fractions.
GCF of 477,712,157 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 150,183,827
3 | 150, 183, 827 |
50, 61, 827 |
∴ So the LCM of the given numbers is 3 x 50 x 61 x 827 = 7567050
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 150,183,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,183,827) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(150,183,827) x common factors =1 x 3 = 3
LCM(150,183,827) = ( 150 × 183 × 827 ) / 3
LCM(150,183,827) = 22701150 / 3
LCM(150,183,827) = 7567050
Lets's calculate GCF of 477,712,157
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7567050/1
Therefore the LCM of Fractions 150/477,183/712,827/157 is 7567050
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Factors of 157
List of positive integer factors of 157 that divides 157 without a remainder.
1,157
Greatest Common Factor
We found the factors 477,712,157 . The biggest common factor number is the GCF number.
So the greatest common factor 477,712,157 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 150/477, 183/712, 827/157?
Answer: LCM of Numerators as per given numbers 150/477, 183/712, 827/157 is
LCM of Numerators i.e. for 150,183,827 is 7567050
GCF of denominators i.e. for 477,712,157 is 1.
Thus, LCM of Fractions is 7567050.Finally, LCM of Fractions for 150/477, 183/712, 827/157 is 7567050.