Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/682, 98/731, 891/461 quickly i.e. 3580038 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/682, 98/731, 891/461 is 3580038.
LCM(41/682, 98/731, 891/461) = 3580038
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/682,98/731,891/461
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 41,98,891
Least Common Multiple of Numerators i.e. LCM of 41,98,891 is 3580038.
GCF of Denominators means GCF of 682,731,461 as per the given fractions.
GCF of 682,731,461 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,98,891
Given numbers has no common factors except 1. So, there LCM is their product i.e 3580038
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 41,98,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,98,891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,98,891) x common factors =1 x 1 = 1
LCM(41,98,891) = ( 41 × 98 × 891 ) / 1
LCM(41,98,891) = 3580038 / 1
LCM(41,98,891) = 3580038
Lets's calculate GCF of 682,731,461
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3580038/1
Therefore the LCM of Fractions 41/682,98/731,891/461 is 3580038
Factors of 682
List of positive integer factors of 682 that divides 682 without a remainder.
1,2,11,22,31,62,341,682
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1,17,43,731
Factors of 461
List of positive integer factors of 461 that divides 461 without a remainder.
1,461
Greatest Common Factor
We found the factors 682,731,461 . The biggest common factor number is the GCF number.
So the greatest common factor 682,731,461 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 41/682, 98/731, 891/461?
Answer: LCM of Numerators as per given numbers 41/682, 98/731, 891/461 is
LCM of Numerators i.e. for 41,98,891 is 3580038
GCF of denominators i.e. for 682,731,461 is 1.
Thus, LCM of Fractions is 3580038.Finally, LCM of Fractions for 41/682, 98/731, 891/461 is 3580038.