Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/370, 491/967, 104/643 quickly i.e. 2093624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/370, 491/967, 104/643 is 2093624.
LCM(82/370, 491/967, 104/643) = 2093624
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/370,491/967,104/643
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 82,491,104
Least Common Multiple of Numerators i.e. LCM of 82,491,104 is 2093624.
GCF of Denominators means GCF of 370,967,643 as per the given fractions.
GCF of 370,967,643 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,491,104
2 | 82, 491, 104 |
41, 491, 52 |
∴ So the LCM of the given numbers is 2 x 41 x 491 x 52 = 2093624
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 82,491,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,491,104) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(82,491,104) x common factors =1 x 2 = 2
LCM(82,491,104) = ( 82 × 491 × 104 ) / 2
LCM(82,491,104) = 4187248 / 2
LCM(82,491,104) = 2093624
Lets's calculate GCF of 370,967,643
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2093624/1
Therefore the LCM of Fractions 82/370,491/967,104/643 is 2093624
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Factors of 967
List of positive integer factors of 967 that divides 967 without a remainder.
1,967
Factors of 643
List of positive integer factors of 643 that divides 643 without a remainder.
1,643
Greatest Common Factor
We found the factors 370,967,643 . The biggest common factor number is the GCF number.
So the greatest common factor 370,967,643 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 82/370, 491/967, 104/643?
Answer: LCM of Numerators as per given numbers 82/370, 491/967, 104/643 is
LCM of Numerators i.e. for 82,491,104 is 2093624
GCF of denominators i.e. for 370,967,643 is 1.
Thus, LCM of Fractions is 2093624.Finally, LCM of Fractions for 82/370, 491/967, 104/643 is 2093624.