Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/622, 621/268, 962/587 quickly i.e. 597402 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/622, 621/268, 962/587 is 597402.
LCM(23/622, 621/268, 962/587) = 597402
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/622,621/268,962/587
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 23,621,962
Least Common Multiple of Numerators i.e. LCM of 23,621,962 is 597402.
GCF of Denominators means GCF of 622,268,587 as per the given fractions.
GCF of 622,268,587 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,621,962
23 | 23, 621, 962 |
1, 27, 962 |
∴ So the LCM of the given numbers is 23 x 1 x 27 x 962 = 597402
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 23,621,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,621,962) = 1
common factors(in case of two or more numbers have common factors) = 23
GCF(23,621,962) x common factors =1 x 23 = 23
LCM(23,621,962) = ( 23 × 621 × 962 ) / 23
LCM(23,621,962) = 13740246 / 23
LCM(23,621,962) = 597402
Lets's calculate GCF of 622,268,587
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 597402/1
Therefore the LCM of Fractions 23/622,621/268,962/587 is 597402
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Factors of 268
List of positive integer factors of 268 that divides 268 without a remainder.
1,2,4,67,134,268
Factors of 587
List of positive integer factors of 587 that divides 587 without a remainder.
1,587
Greatest Common Factor
We found the factors 622,268,587 . The biggest common factor number is the GCF number.
So the greatest common factor 622,268,587 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 23/622, 621/268, 962/587?
Answer: LCM of Numerators as per given numbers 23/622, 621/268, 962/587 is
LCM of Numerators i.e. for 23,621,962 is 597402
GCF of denominators i.e. for 622,268,587 is 1.
Thus, LCM of Fractions is 597402.Finally, LCM of Fractions for 23/622, 621/268, 962/587 is 597402.