Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1414/316, 7044/3653 quickly i.e. 4980108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1414/316, 7044/3653 is 4980108.
LCM(1414/316, 7044/3653) = 4980108
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1414/316,7044/3653
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 1414,7044
Least Common Multiple of Numerators i.e. LCM of 1414,7044 is 4980108.
GCF of Denominators means GCF of 316,3653 as per the given fractions.
GCF of 316,3653 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1414,7044
2 | 1414, 7044 |
707, 3522 |
∴ So the LCM of the given numbers is 2 x 707 x 3522 = 4980108
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 1414,7044 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1414,7044) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1414,7044) x common factors =2 x 1 = 2
LCM(1414,7044) = ( 1414 × 7044 ) / 2
LCM(1414,7044) = 9960216 / 2
LCM(1414,7044) = 4980108
Lets's calculate GCF of 316,3653
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4980108/1
Therefore the LCM of Fractions 1414/316,7044/3653 is 4980108
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Factors of 3653
List of positive integer factors of 3653 that divides 3653 without a remainder.
1,13,281,3653
Greatest Common Factor
We found the factors 316,3653 . The biggest common factor number is the GCF number.
So the greatest common factor 316,3653 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 1414/316, 7044/3653?
Answer: LCM of Numerators as per given numbers 1414/316, 7044/3653 is
LCM of Numerators i.e. for 1414,7044 is 4980108
GCF of denominators i.e. for 316,3653 is 1.
Thus, LCM of Fractions is 4980108.Finally, LCM of Fractions for 1414/316, 7044/3653 is 4980108.