Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 328/71, 672/11, 174/435 quickly i.e. 799008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 328/71, 672/11, 174/435 is 799008.
LCM(328/71, 672/11, 174/435) = 799008
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 328/71,672/11,174/435
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 328,672,174
Least Common Multiple of Numerators i.e. LCM of 328,672,174 is 799008.
GCF of Denominators means GCF of 71,11,435 as per the given fractions.
GCF of 71,11,435 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 328,672,174
2 | 328, 672, 174 |
2 | 164, 336, 87 |
2 | 82, 168, 87 |
3 | 41, 84, 87 |
41, 28, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 41 x 28 x 29 = 799008
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 328,672,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,672,174) = 2
common factors(in case of two or more numbers have common factors) = 24
GCF(328,672,174) x common factors =2 x 24 = 48
LCM(328,672,174) = ( 328 × 672 × 174 ) / 48
LCM(328,672,174) = 38352384 / 48
LCM(328,672,174) = 799008
Lets's calculate GCF of 71,11,435
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 799008/1
Therefore the LCM of Fractions 328/71,672/11,174/435 is 799008
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Greatest Common Factor
We found the factors 71,11,435 . The biggest common factor number is the GCF number.
So the greatest common factor 71,11,435 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 328/71, 672/11, 174/435?
Answer: LCM of Numerators as per given numbers 328/71, 672/11, 174/435 is
LCM of Numerators i.e. for 328,672,174 is 799008
GCF of denominators i.e. for 71,11,435 is 1.
Thus, LCM of Fractions is 799008.Finally, LCM of Fractions for 328/71, 672/11, 174/435 is 799008.