Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 527/107, 629/179, 882/292 quickly i.e. 17198118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 527/107, 629/179, 882/292 is 17198118.
LCM(527/107, 629/179, 882/292) = 17198118
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 527/107,629/179,882/292
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 527,629,882
Least Common Multiple of Numerators i.e. LCM of 527,629,882 is 17198118.
GCF of Denominators means GCF of 107,179,292 as per the given fractions.
GCF of 107,179,292 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 527,629,882
17 | 527, 629, 882 |
31, 37, 882 |
∴ So the LCM of the given numbers is 17 x 31 x 37 x 882 = 17198118
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 527,629,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,629,882) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(527,629,882) x common factors =1 x 17 = 17
LCM(527,629,882) = ( 527 × 629 × 882 ) / 17
LCM(527,629,882) = 292368006 / 17
LCM(527,629,882) = 17198118
Lets's calculate GCF of 107,179,292
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17198118/1
Therefore the LCM of Fractions 527/107,629/179,882/292 is 17198118
Factors of 107
List of positive integer factors of 107 that divides 107 without a remainder.
1,107
Factors of 179
List of positive integer factors of 179 that divides 179 without a remainder.
1,179
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Greatest Common Factor
We found the factors 107,179,292 . The biggest common factor number is the GCF number.
So the greatest common factor 107,179,292 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 527/107, 629/179, 882/292?
Answer: LCM of Numerators as per given numbers 527/107, 629/179, 882/292 is
LCM of Numerators i.e. for 527,629,882 is 17198118
GCF of denominators i.e. for 107,179,292 is 1.
Thus, LCM of Fractions is 17198118.Finally, LCM of Fractions for 527/107, 629/179, 882/292 is 17198118.