Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/767, 4701/7020 quickly i.e. 51711/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/767, 4701/7020 is 51711/13.
LCM(11/767, 4701/7020) = 51711/13
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/767,4701/7020
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 11,4701
Least Common Multiple of Numerators i.e. LCM of 11,4701 is 51711.
GCF of Denominators means GCF of 767,7020 as per the given fractions.
GCF of 767,7020 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,4701
Given numbers has no common factors except 1. So, there LCM is their product i.e 51711
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 11,4701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,4701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,4701) x common factors =1 x 1 = 1
LCM(11,4701) = ( 11 × 4701 ) / 1
LCM(11,4701) = 51711 / 1
LCM(11,4701) = 51711
Lets's calculate GCF of 767,7020
13 | 767, 7020 |
59, 540 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51711/13
Therefore the LCM of Fractions 11/767,4701/7020 is 51711/13
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Factors of 7020
List of positive integer factors of 7020 that divides 7020 without a remainder.
1,2,3,4,5,6,9,10,12,13,15,18,20,26,27,30,36,39,45,52,54,60,65,78,90,108,117,130,135,156,180,195,234,260,270,351,390,468,540,585,702,780,1170,1404,1755,2340,3510,7020
Greatest Common Factor
We found the factors 767,7020 . The biggest common factor number is the GCF number.
So the greatest common factor 767,7020 is 13.
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 11/767, 4701/7020?
Answer: LCM of Numerators as per given numbers 11/767, 4701/7020 is
LCM of Numerators i.e. for 11,4701 is 51711
GCF of denominators i.e. for 767,7020 is 13.
Thus, LCM of Fractions is 51711/13.Finally, LCM of Fractions for 11/767, 4701/7020 is 51711/13.