Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/130, 99/832, 866/528 quickly i.e. 2786355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/130, 99/832, 866/528 is 2786355.
LCM(65/130, 99/832, 866/528) = 2786355
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/130,99/832,866/528
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 65,99,866
Least Common Multiple of Numerators i.e. LCM of 65,99,866 is 5572710.
GCF of Denominators means GCF of 130,832,528 as per the given fractions.
GCF of 130,832,528 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,99,866
Given numbers has no common factors except 1. So, there LCM is their product i.e 5572710
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 65,99,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,99,866) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,99,866) x common factors =1 x 1 = 1
LCM(65,99,866) = ( 65 × 99 × 866 ) / 1
LCM(65,99,866) = 5572710 / 1
LCM(65,99,866) = 5572710
Lets's calculate GCF of 130,832,528
2 | 130, 832, 528 |
65, 416, 264 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5572710/2
Therefore the LCM of Fractions 65/130,99/832,866/528 is 2786355
Factors of 130
List of positive integer factors of 130 that divides 130 without a remainder.
1,2,5,10,13,26,65,130
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Greatest Common Factor
We found the factors 130,832,528 . The biggest common factor number is the GCF number.
So the greatest common factor 130,832,528 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 65/130, 99/832, 866/528?
Answer: LCM of Numerators as per given numbers 65/130, 99/832, 866/528 is
LCM of Numerators i.e. for 65,99,866 is 5572710
GCF of denominators i.e. for 130,832,528 is 2.
Thus, LCM of Fractions is 2786355.Finally, LCM of Fractions for 65/130, 99/832, 866/528 is 2786355.