Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/151, 805/969, 531/622 quickly i.e. 1709820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/151, 805/969, 531/622 is 1709820.
LCM(20/151, 805/969, 531/622) = 1709820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/151,805/969,531/622
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 20,805,531
Least Common Multiple of Numerators i.e. LCM of 20,805,531 is 1709820.
GCF of Denominators means GCF of 151,969,622 as per the given fractions.
GCF of 151,969,622 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,805,531
5 | 20, 805, 531 |
4, 161, 531 |
∴ So the LCM of the given numbers is 5 x 4 x 161 x 531 = 1709820
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 20,805,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,805,531) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(20,805,531) x common factors =1 x 5 = 5
LCM(20,805,531) = ( 20 × 805 × 531 ) / 5
LCM(20,805,531) = 8549100 / 5
LCM(20,805,531) = 1709820
Lets's calculate GCF of 151,969,622
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1709820/1
Therefore the LCM of Fractions 20/151,805/969,531/622 is 1709820
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Factors of 969
List of positive integer factors of 969 that divides 969 without a remainder.
1,3,17,19,51,57,323,969
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Greatest Common Factor
We found the factors 151,969,622 . The biggest common factor number is the GCF number.
So the greatest common factor 151,969,622 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 20/151, 805/969, 531/622?
Answer: LCM of Numerators as per given numbers 20/151, 805/969, 531/622 is
LCM of Numerators i.e. for 20,805,531 is 1709820
GCF of denominators i.e. for 151,969,622 is 1.
Thus, LCM of Fractions is 1709820.Finally, LCM of Fractions for 20/151, 805/969, 531/622 is 1709820.