Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 294/24, 890/22, 606/362 quickly i.e. 6606915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 294/24, 890/22, 606/362 is 6606915.
LCM(294/24, 890/22, 606/362) = 6606915
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 294/24,890/22,606/362
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 294,890,606
Least Common Multiple of Numerators i.e. LCM of 294,890,606 is 13213830.
GCF of Denominators means GCF of 24,22,362 as per the given fractions.
GCF of 24,22,362 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 294,890,606
2 | 294, 890, 606 |
3 | 147, 445, 303 |
49, 445, 101 |
∴ So the LCM of the given numbers is 2 x 3 x 49 x 445 x 101 = 13213830
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 294,890,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,890,606) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(294,890,606) x common factors =2 x 6 = 12
LCM(294,890,606) = ( 294 × 890 × 606 ) / 12
LCM(294,890,606) = 158565960 / 12
LCM(294,890,606) = 13213830
Lets's calculate GCF of 24,22,362
2 | 24, 22, 362 |
12, 11, 181 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13213830/2
Therefore the LCM of Fractions 294/24,890/22,606/362 is 6606915
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 362
List of positive integer factors of 362 that divides 362 without a remainder.
1,2,181,362
Greatest Common Factor
We found the factors 24,22,362 . The biggest common factor number is the GCF number.
So the greatest common factor 24,22,362 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 294/24, 890/22, 606/362?
Answer: LCM of Numerators as per given numbers 294/24, 890/22, 606/362 is
LCM of Numerators i.e. for 294,890,606 is 13213830
GCF of denominators i.e. for 24,22,362 is 2.
Thus, LCM of Fractions is 6606915.Finally, LCM of Fractions for 294/24, 890/22, 606/362 is 6606915.