Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/84, 611/32, 838/627 quickly i.e. 18944666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/84, 611/32, 838/627 is 18944666.
LCM(74/84, 611/32, 838/627) = 18944666
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/84,611/32,838/627
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 74,611,838
Least Common Multiple of Numerators i.e. LCM of 74,611,838 is 18944666.
GCF of Denominators means GCF of 84,32,627 as per the given fractions.
GCF of 84,32,627 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,611,838
2 | 74, 611, 838 |
37, 611, 419 |
∴ So the LCM of the given numbers is 2 x 37 x 611 x 419 = 18944666
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 74,611,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,611,838) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(74,611,838) x common factors =1 x 2 = 2
LCM(74,611,838) = ( 74 × 611 × 838 ) / 2
LCM(74,611,838) = 37889332 / 2
LCM(74,611,838) = 18944666
Lets's calculate GCF of 84,32,627
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18944666/1
Therefore the LCM of Fractions 74/84,611/32,838/627 is 18944666
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 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 627
List of positive integer factors of 627 that divides 627 without a remainder.
1,3,11,19,33,57,209,627
Greatest Common Factor
We found the factors 84,32,627 . The biggest common factor number is the GCF number.
So the greatest common factor 84,32,627 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 74/84, 611/32, 838/627?
Answer: LCM of Numerators as per given numbers 74/84, 611/32, 838/627 is
LCM of Numerators i.e. for 74,611,838 is 18944666
GCF of denominators i.e. for 84,32,627 is 1.
Thus, LCM of Fractions is 18944666.Finally, LCM of Fractions for 74/84, 611/32, 838/627 is 18944666.