Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 164/210, 9926/605 quickly i.e. 813932/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 164/210, 9926/605 is 813932/5.
LCM(164/210, 9926/605) = 813932/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 164/210,9926/605
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 164,9926
Least Common Multiple of Numerators i.e. LCM of 164,9926 is 813932.
GCF of Denominators means GCF of 210,605 as per the given fractions.
GCF of 210,605 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 164,9926
2 | 164, 9926 |
82, 4963 |
∴ So the LCM of the given numbers is 2 x 82 x 4963 = 813932
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 164,9926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,9926) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(164,9926) x common factors =2 x 1 = 2
LCM(164,9926) = ( 164 × 9926 ) / 2
LCM(164,9926) = 1627864 / 2
LCM(164,9926) = 813932
Lets's calculate GCF of 210,605
5 | 210, 605 |
42, 121 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 813932/5
Therefore the LCM of Fractions 164/210,9926/605 is 813932/5
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1,5,11,55,121,605
Greatest Common Factor
We found the factors 210,605 . The biggest common factor number is the GCF number.
So the greatest common factor 210,605 is 5.
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 164/210, 9926/605?
Answer: LCM of Numerators as per given numbers 164/210, 9926/605 is
LCM of Numerators i.e. for 164,9926 is 813932
GCF of denominators i.e. for 210,605 is 5.
Thus, LCM of Fractions is 813932/5.Finally, LCM of Fractions for 164/210, 9926/605 is 813932/5.