Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/62, 68/509, 17/756 quickly i.e. 204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/62, 68/509, 17/756 is 204.
LCM(6/62, 68/509, 17/756) = 204
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/62,68/509,17/756
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 6,68,17
Least Common Multiple of Numerators i.e. LCM of 6,68,17 is 204.
GCF of Denominators means GCF of 62,509,756 as per the given fractions.
GCF of 62,509,756 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,68,17
2 | 6, 68, 17 |
17 | 3, 34, 17 |
3, 2, 1 |
∴ So the LCM of the given numbers is 2 x 17 x 3 x 2 x 1 = 204
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 6,68,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,68,17) = 1
common factors(in case of two or more numbers have common factors) = 34
GCF(6,68,17) x common factors =1 x 34 = 34
LCM(6,68,17) = ( 6 × 68 × 17 ) / 34
LCM(6,68,17) = 6936 / 34
LCM(6,68,17) = 204
Lets's calculate GCF of 62,509,756
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204/1
Therefore the LCM of Fractions 6/62,68/509,17/756 is 204
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 509
List of positive integer factors of 509 that divides 509 without a remainder.
1,509
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 62,509,756 . The biggest common factor number is the GCF number.
So the greatest common factor 62,509,756 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 6/62, 68/509, 17/756?
Answer: LCM of Numerators as per given numbers 6/62, 68/509, 17/756 is
LCM of Numerators i.e. for 6,68,17 is 204
GCF of denominators i.e. for 62,509,756 is 1.
Thus, LCM of Fractions is 204.Finally, LCM of Fractions for 6/62, 68/509, 17/756 is 204.