Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 890/897, 644/622, 373/468 quickly i.e. 106894340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 890/897, 644/622, 373/468 is 106894340.
LCM(890/897, 644/622, 373/468) = 106894340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 890/897,644/622,373/468
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 890,644,373
Least Common Multiple of Numerators i.e. LCM of 890,644,373 is 106894340.
GCF of Denominators means GCF of 897,622,468 as per the given fractions.
GCF of 897,622,468 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 890,644,373
2 | 890, 644, 373 |
445, 322, 373 |
∴ So the LCM of the given numbers is 2 x 445 x 322 x 373 = 106894340
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 890,644,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,644,373) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(890,644,373) x common factors =1 x 2 = 2
LCM(890,644,373) = ( 890 × 644 × 373 ) / 2
LCM(890,644,373) = 213788680 / 2
LCM(890,644,373) = 106894340
Lets's calculate GCF of 897,622,468
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106894340/1
Therefore the LCM of Fractions 890/897,644/622,373/468 is 106894340
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Greatest Common Factor
We found the factors 897,622,468 . The biggest common factor number is the GCF number.
So the greatest common factor 897,622,468 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 890/897, 644/622, 373/468?
Answer: LCM of Numerators as per given numbers 890/897, 644/622, 373/468 is
LCM of Numerators i.e. for 890,644,373 is 106894340
GCF of denominators i.e. for 897,622,468 is 1.
Thus, LCM of Fractions is 106894340.Finally, LCM of Fractions for 890/897, 644/622, 373/468 is 106894340.