Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/964, 7023/8870 quickly i.e. 63207/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/964, 7023/8870 is 63207/2.
LCM(27/964, 7023/8870) = 63207/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/964,7023/8870
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 27,7023
Least Common Multiple of Numerators i.e. LCM of 27,7023 is 63207.
GCF of Denominators means GCF of 964,8870 as per the given fractions.
GCF of 964,8870 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,7023
3 | 27, 7023 |
9, 2341 |
∴ So the LCM of the given numbers is 3 x 9 x 2341 = 63207
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 27,7023 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,7023) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(27,7023) x common factors =3 x 1 = 3
LCM(27,7023) = ( 27 × 7023 ) / 3
LCM(27,7023) = 189621 / 3
LCM(27,7023) = 63207
Lets's calculate GCF of 964,8870
2 | 964, 8870 |
482, 4435 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63207/2
Therefore the LCM of Fractions 27/964,7023/8870 is 63207/2
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
Factors of 8870
List of positive integer factors of 8870 that divides 8870 without a remainder.
1,2,5,10,887,1774,4435,8870
Greatest Common Factor
We found the factors 964,8870 . The biggest common factor number is the GCF number.
So the greatest common factor 964,8870 is 2.
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 27/964, 7023/8870?
Answer: LCM of Numerators as per given numbers 27/964, 7023/8870 is
LCM of Numerators i.e. for 27,7023 is 63207
GCF of denominators i.e. for 964,8870 is 2.
Thus, LCM of Fractions is 63207/2.Finally, LCM of Fractions for 27/964, 7023/8870 is 63207/2.