Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 838/93, 374/94, 821/643 quickly i.e. 128655626 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 838/93, 374/94, 821/643 is 128655626.
LCM(838/93, 374/94, 821/643) = 128655626
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 838/93,374/94,821/643
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 838,374,821
Least Common Multiple of Numerators i.e. LCM of 838,374,821 is 128655626.
GCF of Denominators means GCF of 93,94,643 as per the given fractions.
GCF of 93,94,643 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 838,374,821
2 | 838, 374, 821 |
419, 187, 821 |
∴ So the LCM of the given numbers is 2 x 419 x 187 x 821 = 128655626
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 838,374,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,374,821) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(838,374,821) x common factors =1 x 2 = 2
LCM(838,374,821) = ( 838 × 374 × 821 ) / 2
LCM(838,374,821) = 257311252 / 2
LCM(838,374,821) = 128655626
Lets's calculate GCF of 93,94,643
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128655626/1
Therefore the LCM of Fractions 838/93,374/94,821/643 is 128655626
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 643
List of positive integer factors of 643 that divides 643 without a remainder.
1,643
Greatest Common Factor
We found the factors 93,94,643 . The biggest common factor number is the GCF number.
So the greatest common factor 93,94,643 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 838/93, 374/94, 821/643?
Answer: LCM of Numerators as per given numbers 838/93, 374/94, 821/643 is
LCM of Numerators i.e. for 838,374,821 is 128655626
GCF of denominators i.e. for 93,94,643 is 1.
Thus, LCM of Fractions is 128655626.Finally, LCM of Fractions for 838/93, 374/94, 821/643 is 128655626.