Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4428/719, 9034/1765 quickly i.e. 20001276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4428/719, 9034/1765 is 20001276.
LCM(4428/719, 9034/1765) = 20001276
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4428/719,9034/1765
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 4428,9034
Least Common Multiple of Numerators i.e. LCM of 4428,9034 is 20001276.
GCF of Denominators means GCF of 719,1765 as per the given fractions.
GCF of 719,1765 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4428,9034
2 | 4428, 9034 |
2214, 4517 |
∴ So the LCM of the given numbers is 2 x 2214 x 4517 = 20001276
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 4428,9034 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4428,9034) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4428,9034) x common factors =2 x 1 = 2
LCM(4428,9034) = ( 4428 × 9034 ) / 2
LCM(4428,9034) = 40002552 / 2
LCM(4428,9034) = 20001276
Lets's calculate GCF of 719,1765
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20001276/1
Therefore the LCM of Fractions 4428/719,9034/1765 is 20001276
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Factors of 1765
List of positive integer factors of 1765 that divides 1765 without a remainder.
1,5,353,1765
Greatest Common Factor
We found the factors 719,1765 . The biggest common factor number is the GCF number.
So the greatest common factor 719,1765 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 4428/719, 9034/1765?
Answer: LCM of Numerators as per given numbers 4428/719, 9034/1765 is
LCM of Numerators i.e. for 4428,9034 is 20001276
GCF of denominators i.e. for 719,1765 is 1.
Thus, LCM of Fractions is 20001276.Finally, LCM of Fractions for 4428/719, 9034/1765 is 20001276.