Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/614, 64/418, 653/163 quickly i.e. 4137408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/614, 64/418, 653/163 is 4137408.
LCM(99/614, 64/418, 653/163) = 4137408
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/614,64/418,653/163
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 99,64,653
Least Common Multiple of Numerators i.e. LCM of 99,64,653 is 4137408.
GCF of Denominators means GCF of 614,418,163 as per the given fractions.
GCF of 614,418,163 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,64,653
Given numbers has no common factors except 1. So, there LCM is their product i.e 4137408
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 99,64,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,64,653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,64,653) x common factors =1 x 1 = 1
LCM(99,64,653) = ( 99 × 64 × 653 ) / 1
LCM(99,64,653) = 4137408 / 1
LCM(99,64,653) = 4137408
Lets's calculate GCF of 614,418,163
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4137408/1
Therefore the LCM of Fractions 99/614,64/418,653/163 is 4137408
Factors of 614
List of positive integer factors of 614 that divides 614 without a remainder.
1,2,307,614
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Factors of 163
List of positive integer factors of 163 that divides 163 without a remainder.
1,163
Greatest Common Factor
We found the factors 614,418,163 . The biggest common factor number is the GCF number.
So the greatest common factor 614,418,163 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 99/614, 64/418, 653/163?
Answer: LCM of Numerators as per given numbers 99/614, 64/418, 653/163 is
LCM of Numerators i.e. for 99,64,653 is 4137408
GCF of denominators i.e. for 614,418,163 is 1.
Thus, LCM of Fractions is 4137408.Finally, LCM of Fractions for 99/614, 64/418, 653/163 is 4137408.