Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/874, 33/622, 320/235 quickly i.e. 10560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/874, 33/622, 320/235 is 10560.
LCM(20/874, 33/622, 320/235) = 10560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/874,33/622,320/235
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 20,33,320
Least Common Multiple of Numerators i.e. LCM of 20,33,320 is 10560.
GCF of Denominators means GCF of 874,622,235 as per the given fractions.
GCF of 874,622,235 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,33,320
2 | 20, 33, 320 |
2 | 10, 33, 160 |
5 | 5, 33, 80 |
1, 33, 16 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 33 x 16 = 10560
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 20,33,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,33,320) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(20,33,320) x common factors =1 x 20 = 20
LCM(20,33,320) = ( 20 × 33 × 320 ) / 20
LCM(20,33,320) = 211200 / 20
LCM(20,33,320) = 10560
Lets's calculate GCF of 874,622,235
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10560/1
Therefore the LCM of Fractions 20/874,33/622,320/235 is 10560
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Factors of 235
List of positive integer factors of 235 that divides 235 without a remainder.
1,5,47,235
Greatest Common Factor
We found the factors 874,622,235 . The biggest common factor number is the GCF number.
So the greatest common factor 874,622,235 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 20/874, 33/622, 320/235?
Answer: LCM of Numerators as per given numbers 20/874, 33/622, 320/235 is
LCM of Numerators i.e. for 20,33,320 is 10560
GCF of denominators i.e. for 874,622,235 is 1.
Thus, LCM of Fractions is 10560.Finally, LCM of Fractions for 20/874, 33/622, 320/235 is 10560.