Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/62, 6/48, 56/43, 59/694 quickly i.e. 9912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/62, 6/48, 56/43, 59/694 is 9912.
LCM(8/62, 6/48, 56/43, 59/694) = 9912
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/62,6/48,56/43,59/694
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 8,6,56,59
Least Common Multiple of Numerators i.e. LCM of 8,6,56,59 is 9912.
GCF of Denominators means GCF of 62,48,43,694 as per the given fractions.
GCF of 62,48,43,694 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,6,56,59
2 | 8, 6, 56, 59 |
2 | 4, 3, 28, 59 |
2 | 2, 3, 14, 59 |
1, 3, 7, 59 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 3 x 7 x 59 = 9912
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 8,6,56,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,6,56,59) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(8,6,56,59) x common factors =1 x 16 = 16
LCM(8,6,56,59) = ( 8 × 6 × 56 × 59 ) / 16
LCM(8,6,56,59) = 158592 / 16
LCM(8,6,56,59) = 9912
Lets's calculate GCF of 62,48,43,694
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9912/1
Therefore the LCM of Fractions 8/62,6/48,56/43,59/694 is 9912
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Greatest Common Factor
We found the factors 62,48,43,694 . The biggest common factor number is the GCF number.
So the greatest common factor 62,48,43,694 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 8/62, 6/48, 56/43, 59/694?
Answer: LCM of Numerators as per given numbers 8/62, 6/48, 56/43, 59/694 is
LCM of Numerators i.e. for 8,6,56,59 is 9912
GCF of denominators i.e. for 62,48,43,694 is 1.
Thus, LCM of Fractions is 9912.Finally, LCM of Fractions for 8/62, 6/48, 56/43, 59/694 is 9912.