Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/84, 663/37, 654/908 quickly i.e. 289068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/84, 663/37, 654/908 is 289068.
LCM(68/84, 663/37, 654/908) = 289068
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/84,663/37,654/908
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 68,663,654
Least Common Multiple of Numerators i.e. LCM of 68,663,654 is 289068.
GCF of Denominators means GCF of 84,37,908 as per the given fractions.
GCF of 84,37,908 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,663,654
2 | 68, 663, 654 |
3 | 34, 663, 327 |
17 | 34, 221, 109 |
2, 13, 109 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 2 x 13 x 109 = 289068
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 68,663,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,663,654) = 1
common factors(in case of two or more numbers have common factors) = 102
GCF(68,663,654) x common factors =1 x 102 = 102
LCM(68,663,654) = ( 68 × 663 × 654 ) / 102
LCM(68,663,654) = 29484936 / 102
LCM(68,663,654) = 289068
Lets's calculate GCF of 84,37,908
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 289068/1
Therefore the LCM of Fractions 68/84,663/37,654/908 is 289068
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Greatest Common Factor
We found the factors 84,37,908 . The biggest common factor number is the GCF number.
So the greatest common factor 84,37,908 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 68/84, 663/37, 654/908?
Answer: LCM of Numerators as per given numbers 68/84, 663/37, 654/908 is
LCM of Numerators i.e. for 68,663,654 is 289068
GCF of denominators i.e. for 84,37,908 is 1.
Thus, LCM of Fractions is 289068.Finally, LCM of Fractions for 68/84, 663/37, 654/908 is 289068.