Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 605/94, 898/62, 498/164 quickly i.e. 67639605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 605/94, 898/62, 498/164 is 67639605.
LCM(605/94, 898/62, 498/164) = 67639605
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 605/94,898/62,498/164
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 605,898,498
Least Common Multiple of Numerators i.e. LCM of 605,898,498 is 135279210.
GCF of Denominators means GCF of 94,62,164 as per the given fractions.
GCF of 94,62,164 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 605,898,498
2 | 605, 898, 498 |
605, 449, 249 |
∴ So the LCM of the given numbers is 2 x 605 x 449 x 249 = 135279210
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 605,898,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,898,498) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(605,898,498) x common factors =1 x 2 = 2
LCM(605,898,498) = ( 605 × 898 × 498 ) / 2
LCM(605,898,498) = 270558420 / 2
LCM(605,898,498) = 135279210
Lets's calculate GCF of 94,62,164
2 | 94, 62, 164 |
47, 31, 82 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135279210/2
Therefore the LCM of Fractions 605/94,898/62,498/164 is 67639605
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Greatest Common Factor
We found the factors 94,62,164 . The biggest common factor number is the GCF number.
So the greatest common factor 94,62,164 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 605/94, 898/62, 498/164?
Answer: LCM of Numerators as per given numbers 605/94, 898/62, 498/164 is
LCM of Numerators i.e. for 605,898,498 is 135279210
GCF of denominators i.e. for 94,62,164 is 2.
Thus, LCM of Fractions is 67639605.Finally, LCM of Fractions for 605/94, 898/62, 498/164 is 67639605.