Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/29, 9/74, 71/46, 20/890 quickly i.e. 12780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/29, 9/74, 71/46, 20/890 is 12780.
LCM(6/29, 9/74, 71/46, 20/890) = 12780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/29,9/74,71/46,20/890
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 6,9,71,20
Least Common Multiple of Numerators i.e. LCM of 6,9,71,20 is 12780.
GCF of Denominators means GCF of 29,74,46,890 as per the given fractions.
GCF of 29,74,46,890 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,9,71,20
2 | 6, 9, 71, 20 |
3 | 3, 9, 71, 10 |
1, 3, 71, 10 |
∴ So the LCM of the given numbers is 2 x 3 x 1 x 3 x 71 x 10 = 12780
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 6,9,71,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,9,71,20) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(6,9,71,20) x common factors =1 x 6 = 6
LCM(6,9,71,20) = ( 6 × 9 × 71 × 20 ) / 6
LCM(6,9,71,20) = 76680 / 6
LCM(6,9,71,20) = 12780
Lets's calculate GCF of 29,74,46,890
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12780/1
Therefore the LCM of Fractions 6/29,9/74,71/46,20/890 is 12780
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Greatest Common Factor
We found the factors 29,74,46,890 . The biggest common factor number is the GCF number.
So the greatest common factor 29,74,46,890 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 6/29, 9/74, 71/46, 20/890?
Answer: LCM of Numerators as per given numbers 6/29, 9/74, 71/46, 20/890 is
LCM of Numerators i.e. for 6,9,71,20 is 12780
GCF of denominators i.e. for 29,74,46,890 is 1.
Thus, LCM of Fractions is 12780.Finally, LCM of Fractions for 6/29, 9/74, 71/46, 20/890 is 12780.