Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 852/95, 790/95, 351/798 quickly i.e. 39375180/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 852/95, 790/95, 351/798 is 39375180/19.
LCM(852/95, 790/95, 351/798) = 39375180/19
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 852/95,790/95,351/798
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 852,790,351
Least Common Multiple of Numerators i.e. LCM of 852,790,351 is 39375180.
GCF of Denominators means GCF of 95,95,798 as per the given fractions.
GCF of 95,95,798 is 19 as it is the largest common factor for these numbers.
Lets's calculate LCM of 852,790,351
2 | 852, 790, 351 |
3 | 426, 395, 351 |
142, 395, 117 |
∴ So the LCM of the given numbers is 2 x 3 x 142 x 395 x 117 = 39375180
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 852,790,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(852,790,351) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(852,790,351) x common factors =1 x 6 = 6
LCM(852,790,351) = ( 852 × 790 × 351 ) / 6
LCM(852,790,351) = 236251080 / 6
LCM(852,790,351) = 39375180
Lets's calculate GCF of 95,95,798
19 | 95, 95, 798 |
5, 5, 42 |
∴ So the GCF of the given numbers is 19 = 19
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39375180/19
Therefore the LCM of Fractions 852/95,790/95,351/798 is 39375180/19
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Greatest Common Factor
We found the factors 95,95,798 . The biggest common factor number is the GCF number.
So the greatest common factor 95,95,798 is 19.
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 852/95, 790/95, 351/798?
Answer: LCM of Numerators as per given numbers 852/95, 790/95, 351/798 is
LCM of Numerators i.e. for 852,790,351 is 39375180
GCF of denominators i.e. for 95,95,798 is 19.
Thus, LCM of Fractions is 39375180/19.Finally, LCM of Fractions for 852/95, 790/95, 351/798 is 39375180/19.