Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/186, 527/34, 525/866 quickly i.e. 276675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/186, 527/34, 525/866 is 276675.
LCM(62/186, 527/34, 525/866) = 276675
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/186,527/34,525/866
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 62,527,525
Least Common Multiple of Numerators i.e. LCM of 62,527,525 is 553350.
GCF of Denominators means GCF of 186,34,866 as per the given fractions.
GCF of 186,34,866 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,527,525
31 | 62, 527, 525 |
2, 17, 525 |
∴ So the LCM of the given numbers is 31 x 2 x 17 x 525 = 553350
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 62,527,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,527,525) = 1
common factors(in case of two or more numbers have common factors) = 31
GCF(62,527,525) x common factors =1 x 31 = 31
LCM(62,527,525) = ( 62 × 527 × 525 ) / 31
LCM(62,527,525) = 17153850 / 31
LCM(62,527,525) = 553350
Lets's calculate GCF of 186,34,866
2 | 186, 34, 866 |
93, 17, 433 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 553350/2
Therefore the LCM of Fractions 62/186,527/34,525/866 is 276675
Factors of 186
List of positive integer factors of 186 that divides 186 without a remainder.
1,2,3,6,31,62,93,186
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
Greatest Common Factor
We found the factors 186,34,866 . The biggest common factor number is the GCF number.
So the greatest common factor 186,34,866 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 62/186, 527/34, 525/866?
Answer: LCM of Numerators as per given numbers 62/186, 527/34, 525/866 is
LCM of Numerators i.e. for 62,527,525 is 553350
GCF of denominators i.e. for 186,34,866 is 2.
Thus, LCM of Fractions is 276675.Finally, LCM of Fractions for 62/186, 527/34, 525/866 is 276675.