Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 265/764, 685/918, 586/186 quickly i.e. 10637365 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 265/764, 685/918, 586/186 is 10637365.
LCM(265/764, 685/918, 586/186) = 10637365
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 265/764,685/918,586/186
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 265,685,586
Least Common Multiple of Numerators i.e. LCM of 265,685,586 is 21274730.
GCF of Denominators means GCF of 764,918,186 as per the given fractions.
GCF of 764,918,186 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 265,685,586
5 | 265, 685, 586 |
53, 137, 586 |
∴ So the LCM of the given numbers is 5 x 53 x 137 x 586 = 21274730
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 265,685,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(265,685,586) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(265,685,586) x common factors =1 x 5 = 5
LCM(265,685,586) = ( 265 × 685 × 586 ) / 5
LCM(265,685,586) = 106373650 / 5
LCM(265,685,586) = 21274730
Lets's calculate GCF of 764,918,186
2 | 764, 918, 186 |
382, 459, 93 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21274730/2
Therefore the LCM of Fractions 265/764,685/918,586/186 is 10637365
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 186
List of positive integer factors of 186 that divides 186 without a remainder.
1,2,3,6,31,62,93,186
Greatest Common Factor
We found the factors 764,918,186 . The biggest common factor number is the GCF number.
So the greatest common factor 764,918,186 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 265/764, 685/918, 586/186?
Answer: LCM of Numerators as per given numbers 265/764, 685/918, 586/186 is
LCM of Numerators i.e. for 265,685,586 is 21274730
GCF of denominators i.e. for 764,918,186 is 2.
Thus, LCM of Fractions is 10637365.Finally, LCM of Fractions for 265/764, 685/918, 586/186 is 10637365.