Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7676/340, 9024/436 quickly i.e. 4329264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7676/340, 9024/436 is 4329264.
LCM(7676/340, 9024/436) = 4329264
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7676/340,9024/436
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 7676,9024
Least Common Multiple of Numerators i.e. LCM of 7676,9024 is 17317056.
GCF of Denominators means GCF of 340,436 as per the given fractions.
GCF of 340,436 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7676,9024
2 | 7676, 9024 |
2 | 3838, 4512 |
1919, 2256 |
∴ So the LCM of the given numbers is 2 x 2 x 1919 x 2256 = 17317056
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 7676,9024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7676,9024) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(7676,9024) x common factors =4 x 1 = 4
LCM(7676,9024) = ( 7676 × 9024 ) / 4
LCM(7676,9024) = 69268224 / 4
LCM(7676,9024) = 17317056
Lets's calculate GCF of 340,436
2 | 340, 436 |
2 | 170, 218 |
85, 109 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17317056/4
Therefore the LCM of Fractions 7676/340,9024/436 is 4329264
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Greatest Common Factor
We found the factors 340,436 . The biggest common factor number is the GCF number.
So the greatest common factor 340,436 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 7676/340, 9024/436?
Answer: LCM of Numerators as per given numbers 7676/340, 9024/436 is
LCM of Numerators i.e. for 7676,9024 is 17317056
GCF of denominators i.e. for 340,436 is 4.
Thus, LCM of Fractions is 4329264.Finally, LCM of Fractions for 7676/340, 9024/436 is 4329264.