Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/807, 195/597, 516/753 quickly i.e. 11180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/807, 195/597, 516/753 is 11180.
LCM(12/807, 195/597, 516/753) = 11180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/807,195/597,516/753
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 12,195,516
Least Common Multiple of Numerators i.e. LCM of 12,195,516 is 33540.
GCF of Denominators means GCF of 807,597,753 as per the given fractions.
GCF of 807,597,753 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,195,516
2 | 12, 195, 516 |
2 | 6, 195, 258 |
3 | 3, 195, 129 |
1, 65, 43 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 65 x 43 = 33540
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 12,195,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,195,516) = 3
common factors(in case of two or more numbers have common factors) = 12
GCF(12,195,516) x common factors =3 x 12 = 36
LCM(12,195,516) = ( 12 × 195 × 516 ) / 36
LCM(12,195,516) = 1207440 / 36
LCM(12,195,516) = 33540
Lets's calculate GCF of 807,597,753
3 | 807, 597, 753 |
269, 199, 251 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33540/3
Therefore the LCM of Fractions 12/807,195/597,516/753 is 11180
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Greatest Common Factor
We found the factors 807,597,753 . The biggest common factor number is the GCF number.
So the greatest common factor 807,597,753 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 12/807, 195/597, 516/753?
Answer: LCM of Numerators as per given numbers 12/807, 195/597, 516/753 is
LCM of Numerators i.e. for 12,195,516 is 33540
GCF of denominators i.e. for 807,597,753 is 3.
Thus, LCM of Fractions is 11180.Finally, LCM of Fractions for 12/807, 195/597, 516/753 is 11180.