Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 651/27, 430/3648 quickly i.e. 93310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 651/27, 430/3648 is 93310.
LCM(651/27, 430/3648) = 93310
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 651/27,430/3648
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 651,430
Least Common Multiple of Numerators i.e. LCM of 651,430 is 279930.
GCF of Denominators means GCF of 27,3648 as per the given fractions.
GCF of 27,3648 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 651,430
Given numbers has no common factors except 1. So, there LCM is their product i.e 279930
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 651,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,430) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(651,430) x common factors =1 x 1 = 1
LCM(651,430) = ( 651 × 430 ) / 1
LCM(651,430) = 279930 / 1
LCM(651,430) = 279930
Lets's calculate GCF of 27,3648
3 | 27, 3648 |
9, 1216 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 279930/3
Therefore the LCM of Fractions 651/27,430/3648 is 93310
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 3648
List of positive integer factors of 3648 that divides 3648 without a remainder.
1,2,3,4,6,8,12,16,19,24,32,38,48,57,64,76,96,114,152,192,228,304,456,608,912,1216,1824,3648
Greatest Common Factor
We found the factors 27,3648 . The biggest common factor number is the GCF number.
So the greatest common factor 27,3648 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 651/27, 430/3648?
Answer: LCM of Numerators as per given numbers 651/27, 430/3648 is
LCM of Numerators i.e. for 651,430 is 279930
GCF of denominators i.e. for 27,3648 is 3.
Thus, LCM of Fractions is 93310.Finally, LCM of Fractions for 651/27, 430/3648 is 93310.