Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 882/195, 8442/954 quickly i.e. 19698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 882/195, 8442/954 is 19698.
LCM(882/195, 8442/954) = 19698
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 882/195,8442/954
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 882,8442
Least Common Multiple of Numerators i.e. LCM of 882,8442 is 59094.
GCF of Denominators means GCF of 195,954 as per the given fractions.
GCF of 195,954 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 882,8442
2 | 882, 8442 |
3 | 441, 4221 |
3 | 147, 1407 |
7 | 49, 469 |
7, 67 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 7 x 67 = 59094
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 882,8442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,8442) = 126
common factors(in case of two or more numbers have common factors) = 1
GCF(882,8442) x common factors =126 x 1 = 126
LCM(882,8442) = ( 882 × 8442 ) / 126
LCM(882,8442) = 7445844 / 126
LCM(882,8442) = 59094
Lets's calculate GCF of 195,954
3 | 195, 954 |
65, 318 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59094/3
Therefore the LCM of Fractions 882/195,8442/954 is 19698
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Greatest Common Factor
We found the factors 195,954 . The biggest common factor number is the GCF number.
So the greatest common factor 195,954 is 3.
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 882/195, 8442/954?
Answer: LCM of Numerators as per given numbers 882/195, 8442/954 is
LCM of Numerators i.e. for 882,8442 is 59094
GCF of denominators i.e. for 195,954 is 3.
Thus, LCM of Fractions is 19698.Finally, LCM of Fractions for 882/195, 8442/954 is 19698.