Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/535, 8710/5770 quickly i.e. 141102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/535, 8710/5770 is 141102.
LCM(81/535, 8710/5770) = 141102
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/535,8710/5770
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 81,8710
Least Common Multiple of Numerators i.e. LCM of 81,8710 is 705510.
GCF of Denominators means GCF of 535,5770 as per the given fractions.
GCF of 535,5770 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,8710
Given numbers has no common factors except 1. So, there LCM is their product i.e 705510
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 81,8710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,8710) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,8710) x common factors =1 x 1 = 1
LCM(81,8710) = ( 81 × 8710 ) / 1
LCM(81,8710) = 705510 / 1
LCM(81,8710) = 705510
Lets's calculate GCF of 535,5770
5 | 535, 5770 |
107, 1154 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 705510/5
Therefore the LCM of Fractions 81/535,8710/5770 is 141102
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 5770
List of positive integer factors of 5770 that divides 5770 without a remainder.
1,2,5,10,577,1154,2885,5770
Greatest Common Factor
We found the factors 535,5770 . The biggest common factor number is the GCF number.
So the greatest common factor 535,5770 is 5.
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 81/535, 8710/5770?
Answer: LCM of Numerators as per given numbers 81/535, 8710/5770 is
LCM of Numerators i.e. for 81,8710 is 705510
GCF of denominators i.e. for 535,5770 is 5.
Thus, LCM of Fractions is 141102.Finally, LCM of Fractions for 81/535, 8710/5770 is 141102.