Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 776/436, 233/640 quickly i.e. 45202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 776/436, 233/640 is 45202.
LCM(776/436, 233/640) = 45202
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 776/436,233/640
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 776,233
Least Common Multiple of Numerators i.e. LCM of 776,233 is 180808.
GCF of Denominators means GCF of 436,640 as per the given fractions.
GCF of 436,640 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 776,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 180808
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 776,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(776,233) x common factors =1 x 1 = 1
LCM(776,233) = ( 776 × 233 ) / 1
LCM(776,233) = 180808 / 1
LCM(776,233) = 180808
Lets's calculate GCF of 436,640
2 | 436, 640 |
2 | 218, 320 |
109, 160 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180808/4
Therefore the LCM of Fractions 776/436,233/640 is 45202
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Greatest Common Factor
We found the factors 436,640 . The biggest common factor number is the GCF number.
So the greatest common factor 436,640 is 4.
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 776/436, 233/640?
Answer: LCM of Numerators as per given numbers 776/436, 233/640 is
LCM of Numerators i.e. for 776,233 is 180808
GCF of denominators i.e. for 436,640 is 4.
Thus, LCM of Fractions is 45202.Finally, LCM of Fractions for 776/436, 233/640 is 45202.