Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/475, 186/939, 289/528 quickly i.e. 591294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/475, 186/939, 289/528 is 591294.
LCM(22/475, 186/939, 289/528) = 591294
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/475,186/939,289/528
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 22,186,289
Least Common Multiple of Numerators i.e. LCM of 22,186,289 is 591294.
GCF of Denominators means GCF of 475,939,528 as per the given fractions.
GCF of 475,939,528 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,186,289
2 | 22, 186, 289 |
11, 93, 289 |
∴ So the LCM of the given numbers is 2 x 11 x 93 x 289 = 591294
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 22,186,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,186,289) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(22,186,289) x common factors =1 x 2 = 2
LCM(22,186,289) = ( 22 × 186 × 289 ) / 2
LCM(22,186,289) = 1182588 / 2
LCM(22,186,289) = 591294
Lets's calculate GCF of 475,939,528
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 591294/1
Therefore the LCM of Fractions 22/475,186/939,289/528 is 591294
Factors of 475
List of positive integer factors of 475 that divides 475 without a remainder.
1,5,19,25,95,475
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Greatest Common Factor
We found the factors 475,939,528 . The biggest common factor number is the GCF number.
So the greatest common factor 475,939,528 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 22/475, 186/939, 289/528?
Answer: LCM of Numerators as per given numbers 22/475, 186/939, 289/528 is
LCM of Numerators i.e. for 22,186,289 is 591294
GCF of denominators i.e. for 475,939,528 is 1.
Thus, LCM of Fractions is 591294.Finally, LCM of Fractions for 22/475, 186/939, 289/528 is 591294.