Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 852/390, 773/879 quickly i.e. 219532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 852/390, 773/879 is 219532.
LCM(852/390, 773/879) = 219532
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 852/390,773/879
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 852,773
Least Common Multiple of Numerators i.e. LCM of 852,773 is 658596.
GCF of Denominators means GCF of 390,879 as per the given fractions.
GCF of 390,879 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 852,773
Given numbers has no common factors except 1. So, there LCM is their product i.e 658596
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 852,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(852,773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(852,773) x common factors =1 x 1 = 1
LCM(852,773) = ( 852 × 773 ) / 1
LCM(852,773) = 658596 / 1
LCM(852,773) = 658596
Lets's calculate GCF of 390,879
3 | 390, 879 |
130, 293 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 658596/3
Therefore the LCM of Fractions 852/390,773/879 is 219532
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1,3,293,879
Greatest Common Factor
We found the factors 390,879 . The biggest common factor number is the GCF number.
So the greatest common factor 390,879 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 852/390, 773/879?
Answer: LCM of Numerators as per given numbers 852/390, 773/879 is
LCM of Numerators i.e. for 852,773 is 658596
GCF of denominators i.e. for 390,879 is 3.
Thus, LCM of Fractions is 219532.Finally, LCM of Fractions for 852/390, 773/879 is 219532.