Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 836/829, 146/765 quickly i.e. 61028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 836/829, 146/765 is 61028.
LCM(836/829, 146/765) = 61028
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 836/829,146/765
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 836,146
Least Common Multiple of Numerators i.e. LCM of 836,146 is 61028.
GCF of Denominators means GCF of 829,765 as per the given fractions.
GCF of 829,765 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 836,146
2 | 836, 146 |
418, 73 |
∴ So the LCM of the given numbers is 2 x 418 x 73 = 61028
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 836,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,146) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(836,146) x common factors =2 x 1 = 2
LCM(836,146) = ( 836 × 146 ) / 2
LCM(836,146) = 122056 / 2
LCM(836,146) = 61028
Lets's calculate GCF of 829,765
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61028/1
Therefore the LCM of Fractions 836/829,146/765 is 61028
Factors of 829
List of positive integer factors of 829 that divides 829 without a remainder.
1,829
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Greatest Common Factor
We found the factors 829,765 . The biggest common factor number is the GCF number.
So the greatest common factor 829,765 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 836/829, 146/765?
Answer: LCM of Numerators as per given numbers 836/829, 146/765 is
LCM of Numerators i.e. for 836,146 is 61028
GCF of denominators i.e. for 829,765 is 1.
Thus, LCM of Fractions is 61028.Finally, LCM of Fractions for 836/829, 146/765 is 61028.