Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 291/84, 345/8732 quickly i.e. 33465/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 291/84, 345/8732 is 33465/4.
LCM(291/84, 345/8732) = 33465/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 291/84,345/8732
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 291,345
Least Common Multiple of Numerators i.e. LCM of 291,345 is 33465.
GCF of Denominators means GCF of 84,8732 as per the given fractions.
GCF of 84,8732 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 291,345
3 | 291, 345 |
97, 115 |
∴ So the LCM of the given numbers is 3 x 97 x 115 = 33465
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 291,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,345) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(291,345) x common factors =3 x 1 = 3
LCM(291,345) = ( 291 × 345 ) / 3
LCM(291,345) = 100395 / 3
LCM(291,345) = 33465
Lets's calculate GCF of 84,8732
2 | 84, 8732 |
2 | 42, 4366 |
21, 2183 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33465/4
Therefore the LCM of Fractions 291/84,345/8732 is 33465/4
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
Factors of 8732
List of positive integer factors of 8732 that divides 8732 without a remainder.
1,2,4,37,59,74,118,148,236,2183,4366,8732
Greatest Common Factor
We found the factors 84,8732 . The biggest common factor number is the GCF number.
So the greatest common factor 84,8732 is 4.
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 291/84, 345/8732?
Answer: LCM of Numerators as per given numbers 291/84, 345/8732 is
LCM of Numerators i.e. for 291,345 is 33465
GCF of denominators i.e. for 84,8732 is 4.
Thus, LCM of Fractions is 33465/4.Finally, LCM of Fractions for 291/84, 345/8732 is 33465/4.