Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 295/468, 6567/4584 quickly i.e. 1937265/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 295/468, 6567/4584 is 1937265/12.
LCM(295/468, 6567/4584) = 1937265/12
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 295/468,6567/4584
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 295,6567
Least Common Multiple of Numerators i.e. LCM of 295,6567 is 1937265.
GCF of Denominators means GCF of 468,4584 as per the given fractions.
GCF of 468,4584 is 12 as it is the largest common factor for these numbers.
Lets's calculate LCM of 295,6567
Given numbers has no common factors except 1. So, there LCM is their product i.e 1937265
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 295,6567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,6567) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(295,6567) x common factors =1 x 1 = 1
LCM(295,6567) = ( 295 × 6567 ) / 1
LCM(295,6567) = 1937265 / 1
LCM(295,6567) = 1937265
Lets's calculate GCF of 468,4584
2 | 468, 4584 |
2 | 234, 2292 |
3 | 117, 1146 |
39, 382 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1937265/12
Therefore the LCM of Fractions 295/468,6567/4584 is 1937265/12
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Factors of 4584
List of positive integer factors of 4584 that divides 4584 without a remainder.
1,2,3,4,6,8,12,24,191,382,573,764,1146,1528,2292,4584
Greatest Common Factor
We found the factors 468,4584 . The biggest common factor number is the GCF number.
So the greatest common factor 468,4584 is 12.
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 295/468, 6567/4584?
Answer: LCM of Numerators as per given numbers 295/468, 6567/4584 is
LCM of Numerators i.e. for 295,6567 is 1937265
GCF of denominators i.e. for 468,4584 is 12.
Thus, LCM of Fractions is 1937265/12.Finally, LCM of Fractions for 295/468, 6567/4584 is 1937265/12.