Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 436/616, 3260/450 quickly i.e. 177670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 436/616, 3260/450 is 177670.
LCM(436/616, 3260/450) = 177670
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 436/616,3260/450
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 436,3260
Least Common Multiple of Numerators i.e. LCM of 436,3260 is 355340.
GCF of Denominators means GCF of 616,450 as per the given fractions.
GCF of 616,450 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 436,3260
2 | 436, 3260 |
2 | 218, 1630 |
109, 815 |
∴ So the LCM of the given numbers is 2 x 2 x 109 x 815 = 355340
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 436,3260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,3260) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(436,3260) x common factors =4 x 1 = 4
LCM(436,3260) = ( 436 × 3260 ) / 4
LCM(436,3260) = 1421360 / 4
LCM(436,3260) = 355340
Lets's calculate GCF of 616,450
2 | 616, 450 |
308, 225 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 355340/2
Therefore the LCM of Fractions 436/616,3260/450 is 177670
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Greatest Common Factor
We found the factors 616,450 . The biggest common factor number is the GCF number.
So the greatest common factor 616,450 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 436/616, 3260/450?
Answer: LCM of Numerators as per given numbers 436/616, 3260/450 is
LCM of Numerators i.e. for 436,3260 is 355340
GCF of denominators i.e. for 616,450 is 2.
Thus, LCM of Fractions is 177670.Finally, LCM of Fractions for 436/616, 3260/450 is 177670.