Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/885, 95/849, 84/424 quickly i.e. 7980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/885, 95/849, 84/424 is 7980.
LCM(7/885, 95/849, 84/424) = 7980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/885,95/849,84/424
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 7,95,84
Least Common Multiple of Numerators i.e. LCM of 7,95,84 is 7980.
GCF of Denominators means GCF of 885,849,424 as per the given fractions.
GCF of 885,849,424 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,95,84
7 | 7, 95, 84 |
1, 95, 12 |
∴ So the LCM of the given numbers is 7 x 1 x 95 x 12 = 7980
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 7,95,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,95,84) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(7,95,84) x common factors =1 x 7 = 7
LCM(7,95,84) = ( 7 × 95 × 84 ) / 7
LCM(7,95,84) = 55860 / 7
LCM(7,95,84) = 7980
Lets's calculate GCF of 885,849,424
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7980/1
Therefore the LCM of Fractions 7/885,95/849,84/424 is 7980
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 849
List of positive integer factors of 849 that divides 849 without a remainder.
1,3,283,849
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Greatest Common Factor
We found the factors 885,849,424 . The biggest common factor number is the GCF number.
So the greatest common factor 885,849,424 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 7/885, 95/849, 84/424?
Answer: LCM of Numerators as per given numbers 7/885, 95/849, 84/424 is
LCM of Numerators i.e. for 7,95,84 is 7980
GCF of denominators i.e. for 885,849,424 is 1.
Thus, LCM of Fractions is 7980.Finally, LCM of Fractions for 7/885, 95/849, 84/424 is 7980.