Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 745/986, 9012/5287 quickly i.e. 6713940/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 745/986, 9012/5287 is 6713940/17.
LCM(745/986, 9012/5287) = 6713940/17
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 745/986,9012/5287
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 745,9012
Least Common Multiple of Numerators i.e. LCM of 745,9012 is 6713940.
GCF of Denominators means GCF of 986,5287 as per the given fractions.
GCF of 986,5287 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 745,9012
Given numbers has no common factors except 1. So, there LCM is their product i.e 6713940
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 745,9012 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(745,9012) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(745,9012) x common factors =1 x 1 = 1
LCM(745,9012) = ( 745 × 9012 ) / 1
LCM(745,9012) = 6713940 / 1
LCM(745,9012) = 6713940
Lets's calculate GCF of 986,5287
17 | 986, 5287 |
58, 311 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6713940/17
Therefore the LCM of Fractions 745/986,9012/5287 is 6713940/17
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1,2,17,29,34,58,493,986
Factors of 5287
List of positive integer factors of 5287 that divides 5287 without a remainder.
1,17,311,5287
Greatest Common Factor
We found the factors 986,5287 . The biggest common factor number is the GCF number.
So the greatest common factor 986,5287 is 17.
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 745/986, 9012/5287?
Answer: LCM of Numerators as per given numbers 745/986, 9012/5287 is
LCM of Numerators i.e. for 745,9012 is 6713940
GCF of denominators i.e. for 986,5287 is 17.
Thus, LCM of Fractions is 6713940/17.Finally, LCM of Fractions for 745/986, 9012/5287 is 6713940/17.