Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 776/10, 273/4116 quickly i.e. 105924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 776/10, 273/4116 is 105924.
LCM(776/10, 273/4116) = 105924
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 776/10,273/4116
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 776,273
Least Common Multiple of Numerators i.e. LCM of 776,273 is 211848.
GCF of Denominators means GCF of 10,4116 as per the given fractions.
GCF of 10,4116 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 776,273
Given numbers has no common factors except 1. So, there LCM is their product i.e 211848
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 776,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,273) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(776,273) x common factors =1 x 1 = 1
LCM(776,273) = ( 776 × 273 ) / 1
LCM(776,273) = 211848 / 1
LCM(776,273) = 211848
Lets's calculate GCF of 10,4116
2 | 10, 4116 |
5, 2058 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 211848/2
Therefore the LCM of Fractions 776/10,273/4116 is 105924
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 4116
List of positive integer factors of 4116 that divides 4116 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,343,588,686,1029,1372,2058,4116
Greatest Common Factor
We found the factors 10,4116 . The biggest common factor number is the GCF number.
So the greatest common factor 10,4116 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 776/10, 273/4116?
Answer: LCM of Numerators as per given numbers 776/10, 273/4116 is
LCM of Numerators i.e. for 776,273 is 211848
GCF of denominators i.e. for 10,4116 is 2.
Thus, LCM of Fractions is 105924.Finally, LCM of Fractions for 776/10, 273/4116 is 105924.