Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 216/44, 106/7765 quickly i.e. 11448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 216/44, 106/7765 is 11448.
LCM(216/44, 106/7765) = 11448
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 216/44,106/7765
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 216,106
Least Common Multiple of Numerators i.e. LCM of 216,106 is 11448.
GCF of Denominators means GCF of 44,7765 as per the given fractions.
GCF of 44,7765 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 216,106
2 | 216, 106 |
108, 53 |
∴ So the LCM of the given numbers is 2 x 108 x 53 = 11448
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 216,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,106) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(216,106) x common factors =2 x 1 = 2
LCM(216,106) = ( 216 × 106 ) / 2
LCM(216,106) = 22896 / 2
LCM(216,106) = 11448
Lets's calculate GCF of 44,7765
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11448/1
Therefore the LCM of Fractions 216/44,106/7765 is 11448
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 7765
List of positive integer factors of 7765 that divides 7765 without a remainder.
1,5,1553,7765
Greatest Common Factor
We found the factors 44,7765 . The biggest common factor number is the GCF number.
So the greatest common factor 44,7765 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 216/44, 106/7765?
Answer: LCM of Numerators as per given numbers 216/44, 106/7765 is
LCM of Numerators i.e. for 216,106 is 11448
GCF of denominators i.e. for 44,7765 is 1.
Thus, LCM of Fractions is 11448.Finally, LCM of Fractions for 216/44, 106/7765 is 11448.