Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/375, 666/951, 135/842 quickly i.e. 19980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/375, 666/951, 135/842 is 19980.
LCM(20/375, 666/951, 135/842) = 19980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/375,666/951,135/842
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 20,666,135
Least Common Multiple of Numerators i.e. LCM of 20,666,135 is 19980.
GCF of Denominators means GCF of 375,951,842 as per the given fractions.
GCF of 375,951,842 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,666,135
2 | 20, 666, 135 |
3 | 10, 333, 135 |
3 | 10, 111, 45 |
5 | 10, 37, 15 |
2, 37, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 2 x 37 x 3 = 19980
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 20,666,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,666,135) = 1
common factors(in case of two or more numbers have common factors) = 90
GCF(20,666,135) x common factors =1 x 90 = 90
LCM(20,666,135) = ( 20 × 666 × 135 ) / 90
LCM(20,666,135) = 1798200 / 90
LCM(20,666,135) = 19980
Lets's calculate GCF of 375,951,842
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19980/1
Therefore the LCM of Fractions 20/375,666/951,135/842 is 19980
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
Greatest Common Factor
We found the factors 375,951,842 . The biggest common factor number is the GCF number.
So the greatest common factor 375,951,842 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 20/375, 666/951, 135/842?
Answer: LCM of Numerators as per given numbers 20/375, 666/951, 135/842 is
LCM of Numerators i.e. for 20,666,135 is 19980
GCF of denominators i.e. for 375,951,842 is 1.
Thus, LCM of Fractions is 19980.Finally, LCM of Fractions for 20/375, 666/951, 135/842 is 19980.