Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 934/204, 970/801 quickly i.e. 452990/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 934/204, 970/801 is 452990/3.
LCM(934/204, 970/801) = 452990/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 934/204,970/801
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 934,970
Least Common Multiple of Numerators i.e. LCM of 934,970 is 452990.
GCF of Denominators means GCF of 204,801 as per the given fractions.
GCF of 204,801 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 934,970
2 | 934, 970 |
467, 485 |
∴ So the LCM of the given numbers is 2 x 467 x 485 = 452990
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 934,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,970) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(934,970) x common factors =2 x 1 = 2
LCM(934,970) = ( 934 × 970 ) / 2
LCM(934,970) = 905980 / 2
LCM(934,970) = 452990
Lets's calculate GCF of 204,801
3 | 204, 801 |
68, 267 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 452990/3
Therefore the LCM of Fractions 934/204,970/801 is 452990/3
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Factors of 801
List of positive integer factors of 801 that divides 801 without a remainder.
1,3,9,89,267,801
Greatest Common Factor
We found the factors 204,801 . The biggest common factor number is the GCF number.
So the greatest common factor 204,801 is 3.
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 934/204, 970/801?
Answer: LCM of Numerators as per given numbers 934/204, 970/801 is
LCM of Numerators i.e. for 934,970 is 452990
GCF of denominators i.e. for 204,801 is 3.
Thus, LCM of Fractions is 452990/3.Finally, LCM of Fractions for 934/204, 970/801 is 452990/3.