Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7440/875, 8058/282 quickly i.e. 9991920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7440/875, 8058/282 is 9991920.
LCM(7440/875, 8058/282) = 9991920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7440/875,8058/282
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 7440,8058
Least Common Multiple of Numerators i.e. LCM of 7440,8058 is 9991920.
GCF of Denominators means GCF of 875,282 as per the given fractions.
GCF of 875,282 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7440,8058
2 | 7440, 8058 |
3 | 3720, 4029 |
1240, 1343 |
∴ So the LCM of the given numbers is 2 x 3 x 1240 x 1343 = 9991920
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 7440,8058 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7440,8058) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(7440,8058) x common factors =6 x 1 = 6
LCM(7440,8058) = ( 7440 × 8058 ) / 6
LCM(7440,8058) = 59951520 / 6
LCM(7440,8058) = 9991920
Lets's calculate GCF of 875,282
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9991920/1
Therefore the LCM of Fractions 7440/875,8058/282 is 9991920
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Greatest Common Factor
We found the factors 875,282 . The biggest common factor number is the GCF number.
So the greatest common factor 875,282 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 7440/875, 8058/282?
Answer: LCM of Numerators as per given numbers 7440/875, 8058/282 is
LCM of Numerators i.e. for 7440,8058 is 9991920
GCF of denominators i.e. for 875,282 is 1.
Thus, LCM of Fractions is 9991920.Finally, LCM of Fractions for 7440/875, 8058/282 is 9991920.