Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1766/428, 2479/9245 quickly i.e. 4377914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1766/428, 2479/9245 is 4377914.
LCM(1766/428, 2479/9245) = 4377914
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1766/428,2479/9245
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 1766,2479
Least Common Multiple of Numerators i.e. LCM of 1766,2479 is 4377914.
GCF of Denominators means GCF of 428,9245 as per the given fractions.
GCF of 428,9245 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1766,2479
Given numbers has no common factors except 1. So, there LCM is their product i.e 4377914
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 1766,2479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1766,2479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1766,2479) x common factors =1 x 1 = 1
LCM(1766,2479) = ( 1766 × 2479 ) / 1
LCM(1766,2479) = 4377914 / 1
LCM(1766,2479) = 4377914
Lets's calculate GCF of 428,9245
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4377914/1
Therefore the LCM of Fractions 1766/428,2479/9245 is 4377914
Factors of 428
List of positive integer factors of 428 that divides 428 without a remainder.
1,2,4,107,214,428
Factors of 9245
List of positive integer factors of 9245 that divides 9245 without a remainder.
1,5,43,215,1849,9245
Greatest Common Factor
We found the factors 428,9245 . The biggest common factor number is the GCF number.
So the greatest common factor 428,9245 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 1766/428, 2479/9245?
Answer: LCM of Numerators as per given numbers 1766/428, 2479/9245 is
LCM of Numerators i.e. for 1766,2479 is 4377914
GCF of denominators i.e. for 428,9245 is 1.
Thus, LCM of Fractions is 4377914.Finally, LCM of Fractions for 1766/428, 2479/9245 is 4377914.