Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7106/22, 2210/352 quickly i.e. 20995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7106/22, 2210/352 is 20995.
LCM(7106/22, 2210/352) = 20995
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7106/22,2210/352
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 7106,2210
Least Common Multiple of Numerators i.e. LCM of 7106,2210 is 461890.
GCF of Denominators means GCF of 22,352 as per the given fractions.
GCF of 22,352 is 22 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7106,2210
2 | 7106, 2210 |
17 | 3553, 1105 |
209, 65 |
∴ So the LCM of the given numbers is 2 x 17 x 209 x 65 = 461890
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 7106,2210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7106,2210) = 34
common factors(in case of two or more numbers have common factors) = 1
GCF(7106,2210) x common factors =34 x 1 = 34
LCM(7106,2210) = ( 7106 × 2210 ) / 34
LCM(7106,2210) = 15704260 / 34
LCM(7106,2210) = 461890
Lets's calculate GCF of 22,352
2 | 22, 352 |
11 | 11, 176 |
1, 16 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 461890/22
Therefore the LCM of Fractions 7106/22,2210/352 is 20995
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Greatest Common Factor
We found the factors 22,352 . The biggest common factor number is the GCF number.
So the greatest common factor 22,352 is 22.
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 7106/22, 2210/352?
Answer: LCM of Numerators as per given numbers 7106/22, 2210/352 is
LCM of Numerators i.e. for 7106,2210 is 461890
GCF of denominators i.e. for 22,352 is 22.
Thus, LCM of Fractions is 20995.Finally, LCM of Fractions for 7106/22, 2210/352 is 20995.