Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/883, 642/849, 382/118 quickly i.e. 4046526 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/883, 642/849, 382/118 is 4046526.
LCM(99/883, 642/849, 382/118) = 4046526
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/883,642/849,382/118
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 99,642,382
Least Common Multiple of Numerators i.e. LCM of 99,642,382 is 4046526.
GCF of Denominators means GCF of 883,849,118 as per the given fractions.
GCF of 883,849,118 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,642,382
2 | 99, 642, 382 |
3 | 99, 321, 191 |
33, 107, 191 |
∴ So the LCM of the given numbers is 2 x 3 x 33 x 107 x 191 = 4046526
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 99,642,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,642,382) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(99,642,382) x common factors =1 x 6 = 6
LCM(99,642,382) = ( 99 × 642 × 382 ) / 6
LCM(99,642,382) = 24279156 / 6
LCM(99,642,382) = 4046526
Lets's calculate GCF of 883,849,118
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4046526/1
Therefore the LCM of Fractions 99/883,642/849,382/118 is 4046526
Factors of 883
List of positive integer factors of 883 that divides 883 without a remainder.
1,883
Factors of 849
List of positive integer factors of 849 that divides 849 without a remainder.
1,3,283,849
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Greatest Common Factor
We found the factors 883,849,118 . The biggest common factor number is the GCF number.
So the greatest common factor 883,849,118 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 99/883, 642/849, 382/118?
Answer: LCM of Numerators as per given numbers 99/883, 642/849, 382/118 is
LCM of Numerators i.e. for 99,642,382 is 4046526
GCF of denominators i.e. for 883,849,118 is 1.
Thus, LCM of Fractions is 4046526.Finally, LCM of Fractions for 99/883, 642/849, 382/118 is 4046526.