Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 825/934, 2629/544 quickly i.e. 197175/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 825/934, 2629/544 is 197175/2.
LCM(825/934, 2629/544) = 197175/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 825/934,2629/544
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 825,2629
Least Common Multiple of Numerators i.e. LCM of 825,2629 is 197175.
GCF of Denominators means GCF of 934,544 as per the given fractions.
GCF of 934,544 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 825,2629
11 | 825, 2629 |
75, 239 |
∴ So the LCM of the given numbers is 11 x 75 x 239 = 197175
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 825,2629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,2629) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(825,2629) x common factors =11 x 1 = 11
LCM(825,2629) = ( 825 × 2629 ) / 11
LCM(825,2629) = 2168925 / 11
LCM(825,2629) = 197175
Lets's calculate GCF of 934,544
2 | 934, 544 |
467, 272 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197175/2
Therefore the LCM of Fractions 825/934,2629/544 is 197175/2
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Greatest Common Factor
We found the factors 934,544 . The biggest common factor number is the GCF number.
So the greatest common factor 934,544 is 2.
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 825/934, 2629/544?
Answer: LCM of Numerators as per given numbers 825/934, 2629/544 is
LCM of Numerators i.e. for 825,2629 is 197175
GCF of denominators i.e. for 934,544 is 2.
Thus, LCM of Fractions is 197175/2.Finally, LCM of Fractions for 825/934, 2629/544 is 197175/2.