Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4450/182, 7316/326 quickly i.e. 8139050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4450/182, 7316/326 is 8139050.
LCM(4450/182, 7316/326) = 8139050
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4450/182,7316/326
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 4450,7316
Least Common Multiple of Numerators i.e. LCM of 4450,7316 is 16278100.
GCF of Denominators means GCF of 182,326 as per the given fractions.
GCF of 182,326 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4450,7316
2 | 4450, 7316 |
2225, 3658 |
∴ So the LCM of the given numbers is 2 x 2225 x 3658 = 16278100
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 4450,7316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4450,7316) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4450,7316) x common factors =2 x 1 = 2
LCM(4450,7316) = ( 4450 × 7316 ) / 2
LCM(4450,7316) = 32556200 / 2
LCM(4450,7316) = 16278100
Lets's calculate GCF of 182,326
2 | 182, 326 |
91, 163 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16278100/2
Therefore the LCM of Fractions 4450/182,7316/326 is 8139050
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Greatest Common Factor
We found the factors 182,326 . The biggest common factor number is the GCF number.
So the greatest common factor 182,326 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 4450/182, 7316/326?
Answer: LCM of Numerators as per given numbers 4450/182, 7316/326 is
LCM of Numerators i.e. for 4450,7316 is 16278100
GCF of denominators i.e. for 182,326 is 2.
Thus, LCM of Fractions is 8139050.Finally, LCM of Fractions for 4450/182, 7316/326 is 8139050.