Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/82, 94/334, 469/612 quickly i.e. 242473 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/82, 94/334, 469/612 is 242473.
LCM(22/82, 94/334, 469/612) = 242473
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/82,94/334,469/612
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 22,94,469
Least Common Multiple of Numerators i.e. LCM of 22,94,469 is 484946.
GCF of Denominators means GCF of 82,334,612 as per the given fractions.
GCF of 82,334,612 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,94,469
2 | 22, 94, 469 |
11, 47, 469 |
∴ So the LCM of the given numbers is 2 x 11 x 47 x 469 = 484946
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 22,94,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,94,469) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(22,94,469) x common factors =1 x 2 = 2
LCM(22,94,469) = ( 22 × 94 × 469 ) / 2
LCM(22,94,469) = 969892 / 2
LCM(22,94,469) = 484946
Lets's calculate GCF of 82,334,612
2 | 82, 334, 612 |
41, 167, 306 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 484946/2
Therefore the LCM of Fractions 22/82,94/334,469/612 is 242473
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Factors of 612
List of positive integer factors of 612 that divides 612 without a remainder.
1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Greatest Common Factor
We found the factors 82,334,612 . The biggest common factor number is the GCF number.
So the greatest common factor 82,334,612 is 2.
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 22/82, 94/334, 469/612?
Answer: LCM of Numerators as per given numbers 22/82, 94/334, 469/612 is
LCM of Numerators i.e. for 22,94,469 is 484946
GCF of denominators i.e. for 82,334,612 is 2.
Thus, LCM of Fractions is 242473.Finally, LCM of Fractions for 22/82, 94/334, 469/612 is 242473.