Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/45, 61/27, 349/84 quickly i.e. 723826/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/45, 61/27, 349/84 is 723826/3.
LCM(34/45, 61/27, 349/84) = 723826/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/45,61/27,349/84
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 34,61,349
Least Common Multiple of Numerators i.e. LCM of 34,61,349 is 723826.
GCF of Denominators means GCF of 45,27,84 as per the given fractions.
GCF of 45,27,84 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,61,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 723826
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 34,61,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,61,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,61,349) x common factors =1 x 1 = 1
LCM(34,61,349) = ( 34 × 61 × 349 ) / 1
LCM(34,61,349) = 723826 / 1
LCM(34,61,349) = 723826
Lets's calculate GCF of 45,27,84
3 | 45, 27, 84 |
15, 9, 28 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 723826/3
Therefore the LCM of Fractions 34/45,61/27,349/84 is 723826/3
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Greatest Common Factor
We found the factors 45,27,84 . The biggest common factor number is the GCF number.
So the greatest common factor 45,27,84 is 3.
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 34/45, 61/27, 349/84?
Answer: LCM of Numerators as per given numbers 34/45, 61/27, 349/84 is
LCM of Numerators i.e. for 34,61,349 is 723826
GCF of denominators i.e. for 45,27,84 is 3.
Thus, LCM of Fractions is 723826/3.Finally, LCM of Fractions for 34/45, 61/27, 349/84 is 723826/3.