Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 229/329, 672/376 quickly i.e. 153888/47 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 229/329, 672/376 is 153888/47.
LCM(229/329, 672/376) = 153888/47
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 229/329,672/376
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 229,672
Least Common Multiple of Numerators i.e. LCM of 229,672 is 153888.
GCF of Denominators means GCF of 329,376 as per the given fractions.
GCF of 329,376 is 47 as it is the largest common factor for these numbers.
Lets's calculate LCM of 229,672
Given numbers has no common factors except 1. So, there LCM is their product i.e 153888
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 229,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(229,672) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(229,672) x common factors =1 x 1 = 1
LCM(229,672) = ( 229 × 672 ) / 1
LCM(229,672) = 153888 / 1
LCM(229,672) = 153888
Lets's calculate GCF of 329,376
47 | 329, 376 |
7, 8 |
∴ So the GCF of the given numbers is 47 = 47
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153888/47
Therefore the LCM of Fractions 229/329,672/376 is 153888/47
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1,7,47,329
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Greatest Common Factor
We found the factors 329,376 . The biggest common factor number is the GCF number.
So the greatest common factor 329,376 is 47.
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 229/329, 672/376?
Answer: LCM of Numerators as per given numbers 229/329, 672/376 is
LCM of Numerators i.e. for 229,672 is 153888
GCF of denominators i.e. for 329,376 is 47.
Thus, LCM of Fractions is 153888/47.Finally, LCM of Fractions for 229/329, 672/376 is 153888/47.