Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 621/97, 885/6407 quickly i.e. 183195 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 621/97, 885/6407 is 183195.
LCM(621/97, 885/6407) = 183195
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 621/97,885/6407
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 621,885
Least Common Multiple of Numerators i.e. LCM of 621,885 is 183195.
GCF of Denominators means GCF of 97,6407 as per the given fractions.
GCF of 97,6407 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 621,885
3 | 621, 885 |
207, 295 |
∴ So the LCM of the given numbers is 3 x 207 x 295 = 183195
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 621,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,885) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(621,885) x common factors =3 x 1 = 3
LCM(621,885) = ( 621 × 885 ) / 3
LCM(621,885) = 549585 / 3
LCM(621,885) = 183195
Lets's calculate GCF of 97,6407
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183195/1
Therefore the LCM of Fractions 621/97,885/6407 is 183195
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 6407
List of positive integer factors of 6407 that divides 6407 without a remainder.
1,43,149,6407
Greatest Common Factor
We found the factors 97,6407 . The biggest common factor number is the GCF number.
So the greatest common factor 97,6407 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 621/97, 885/6407?
Answer: LCM of Numerators as per given numbers 621/97, 885/6407 is
LCM of Numerators i.e. for 621,885 is 183195
GCF of denominators i.e. for 97,6407 is 1.
Thus, LCM of Fractions is 183195.Finally, LCM of Fractions for 621/97, 885/6407 is 183195.