Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 896/876, 7470/568 quickly i.e. 836640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 896/876, 7470/568 is 836640.
LCM(896/876, 7470/568) = 836640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 896/876,7470/568
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 896,7470
Least Common Multiple of Numerators i.e. LCM of 896,7470 is 3346560.
GCF of Denominators means GCF of 876,568 as per the given fractions.
GCF of 876,568 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 896,7470
2 | 896, 7470 |
448, 3735 |
∴ So the LCM of the given numbers is 2 x 448 x 3735 = 3346560
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 896,7470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(896,7470) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(896,7470) x common factors =2 x 1 = 2
LCM(896,7470) = ( 896 × 7470 ) / 2
LCM(896,7470) = 6693120 / 2
LCM(896,7470) = 3346560
Lets's calculate GCF of 876,568
2 | 876, 568 |
2 | 438, 284 |
219, 142 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3346560/4
Therefore the LCM of Fractions 896/876,7470/568 is 836640
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Greatest Common Factor
We found the factors 876,568 . The biggest common factor number is the GCF number.
So the greatest common factor 876,568 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 896/876, 7470/568?
Answer: LCM of Numerators as per given numbers 896/876, 7470/568 is
LCM of Numerators i.e. for 896,7470 is 3346560
GCF of denominators i.e. for 876,568 is 4.
Thus, LCM of Fractions is 836640.Finally, LCM of Fractions for 896/876, 7470/568 is 836640.