Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 780/204, 265/826 quickly i.e. 20670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 780/204, 265/826 is 20670.
LCM(780/204, 265/826) = 20670
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 780/204,265/826
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 780,265
Least Common Multiple of Numerators i.e. LCM of 780,265 is 41340.
GCF of Denominators means GCF of 204,826 as per the given fractions.
GCF of 204,826 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 780,265
5 | 780, 265 |
156, 53 |
∴ So the LCM of the given numbers is 5 x 156 x 53 = 41340
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 780,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,265) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(780,265) x common factors =5 x 1 = 5
LCM(780,265) = ( 780 × 265 ) / 5
LCM(780,265) = 206700 / 5
LCM(780,265) = 41340
Lets's calculate GCF of 204,826
2 | 204, 826 |
102, 413 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41340/2
Therefore the LCM of Fractions 780/204,265/826 is 20670
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Greatest Common Factor
We found the factors 204,826 . The biggest common factor number is the GCF number.
So the greatest common factor 204,826 is 2.
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 780/204, 265/826?
Answer: LCM of Numerators as per given numbers 780/204, 265/826 is
LCM of Numerators i.e. for 780,265 is 41340
GCF of denominators i.e. for 204,826 is 2.
Thus, LCM of Fractions is 20670.Finally, LCM of Fractions for 780/204, 265/826 is 20670.