Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/32, 97/14, 30/71, 33/425 quickly i.e. 1376430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/32, 97/14, 30/71, 33/425 is 1376430.
LCM(43/32, 97/14, 30/71, 33/425) = 1376430
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/32,97/14,30/71,33/425
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 43,97,30,33
Least Common Multiple of Numerators i.e. LCM of 43,97,30,33 is 1376430.
GCF of Denominators means GCF of 32,14,71,425 as per the given fractions.
GCF of 32,14,71,425 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,97,30,33
3 | 43, 97, 30, 33 |
43, 97, 10, 11 |
∴ So the LCM of the given numbers is 3 x 43 x 97 x 10 x 11 = 1376430
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 43,97,30,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,97,30,33) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(43,97,30,33) x common factors =1 x 3 = 3
LCM(43,97,30,33) = ( 43 × 97 × 30 × 33 ) / 3
LCM(43,97,30,33) = 4129290 / 3
LCM(43,97,30,33) = 1376430
Lets's calculate GCF of 32,14,71,425
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1376430/1
Therefore the LCM of Fractions 43/32,97/14,30/71,33/425 is 1376430
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Greatest Common Factor
We found the factors 32,14,71,425 . The biggest common factor number is the GCF number.
So the greatest common factor 32,14,71,425 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 43/32, 97/14, 30/71, 33/425?
Answer: LCM of Numerators as per given numbers 43/32, 97/14, 30/71, 33/425 is
LCM of Numerators i.e. for 43,97,30,33 is 1376430
GCF of denominators i.e. for 32,14,71,425 is 1.
Thus, LCM of Fractions is 1376430.Finally, LCM of Fractions for 43/32, 97/14, 30/71, 33/425 is 1376430.