Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 772/240, 7726/4604 quickly i.e. 745559 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 772/240, 7726/4604 is 745559.
LCM(772/240, 7726/4604) = 745559
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 772/240,7726/4604
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 772,7726
Least Common Multiple of Numerators i.e. LCM of 772,7726 is 2982236.
GCF of Denominators means GCF of 240,4604 as per the given fractions.
GCF of 240,4604 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 772,7726
2 | 772, 7726 |
386, 3863 |
∴ So the LCM of the given numbers is 2 x 386 x 3863 = 2982236
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 772,7726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,7726) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(772,7726) x common factors =2 x 1 = 2
LCM(772,7726) = ( 772 × 7726 ) / 2
LCM(772,7726) = 5964472 / 2
LCM(772,7726) = 2982236
Lets's calculate GCF of 240,4604
2 | 240, 4604 |
2 | 120, 2302 |
60, 1151 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2982236/4
Therefore the LCM of Fractions 772/240,7726/4604 is 745559
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Factors of 4604
List of positive integer factors of 4604 that divides 4604 without a remainder.
1,2,4,1151,2302,4604
Greatest Common Factor
We found the factors 240,4604 . The biggest common factor number is the GCF number.
So the greatest common factor 240,4604 is 4.
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 772/240, 7726/4604?
Answer: LCM of Numerators as per given numbers 772/240, 7726/4604 is
LCM of Numerators i.e. for 772,7726 is 2982236
GCF of denominators i.e. for 240,4604 is 4.
Thus, LCM of Fractions is 745559.Finally, LCM of Fractions for 772/240, 7726/4604 is 745559.