Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 820/789, 343/775, 546/235 quickly i.e. 10969140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 820/789, 343/775, 546/235 is 10969140.
LCM(820/789, 343/775, 546/235) = 10969140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 820/789,343/775,546/235
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 820,343,546
Least Common Multiple of Numerators i.e. LCM of 820,343,546 is 10969140.
GCF of Denominators means GCF of 789,775,235 as per the given fractions.
GCF of 789,775,235 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 820,343,546
2 | 820, 343, 546 |
7 | 410, 343, 273 |
410, 49, 39 |
∴ So the LCM of the given numbers is 2 x 7 x 410 x 49 x 39 = 10969140
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 820,343,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,343,546) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(820,343,546) x common factors =1 x 14 = 14
LCM(820,343,546) = ( 820 × 343 × 546 ) / 14
LCM(820,343,546) = 153567960 / 14
LCM(820,343,546) = 10969140
Lets's calculate GCF of 789,775,235
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10969140/1
Therefore the LCM of Fractions 820/789,343/775,546/235 is 10969140
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 235
List of positive integer factors of 235 that divides 235 without a remainder.
1,5,47,235
Greatest Common Factor
We found the factors 789,775,235 . The biggest common factor number is the GCF number.
So the greatest common factor 789,775,235 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 820/789, 343/775, 546/235?
Answer: LCM of Numerators as per given numbers 820/789, 343/775, 546/235 is
LCM of Numerators i.e. for 820,343,546 is 10969140
GCF of denominators i.e. for 789,775,235 is 1.
Thus, LCM of Fractions is 10969140.Finally, LCM of Fractions for 820/789, 343/775, 546/235 is 10969140.