Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/912, 8630/8109 quickly i.e. 146710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/912, 8630/8109 is 146710.
LCM(51/912, 8630/8109) = 146710
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/912,8630/8109
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 51,8630
Least Common Multiple of Numerators i.e. LCM of 51,8630 is 440130.
GCF of Denominators means GCF of 912,8109 as per the given fractions.
GCF of 912,8109 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,8630
Given numbers has no common factors except 1. So, there LCM is their product i.e 440130
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 51,8630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,8630) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,8630) x common factors =1 x 1 = 1
LCM(51,8630) = ( 51 × 8630 ) / 1
LCM(51,8630) = 440130 / 1
LCM(51,8630) = 440130
Lets's calculate GCF of 912,8109
3 | 912, 8109 |
304, 2703 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 440130/3
Therefore the LCM of Fractions 51/912,8630/8109 is 146710
Factors of 912
List of positive integer factors of 912 that divides 912 without a remainder.
1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Factors of 8109
List of positive integer factors of 8109 that divides 8109 without a remainder.
1,3,9,17,51,53,153,159,477,901,2703,8109
Greatest Common Factor
We found the factors 912,8109 . The biggest common factor number is the GCF number.
So the greatest common factor 912,8109 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 51/912, 8630/8109?
Answer: LCM of Numerators as per given numbers 51/912, 8630/8109 is
LCM of Numerators i.e. for 51,8630 is 440130
GCF of denominators i.e. for 912,8109 is 3.
Thus, LCM of Fractions is 146710.Finally, LCM of Fractions for 51/912, 8630/8109 is 146710.