Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 535/88, 759/351 quickly i.e. 406065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 535/88, 759/351 is 406065.
LCM(535/88, 759/351) = 406065
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 535/88,759/351
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 535,759
Least Common Multiple of Numerators i.e. LCM of 535,759 is 406065.
GCF of Denominators means GCF of 88,351 as per the given fractions.
GCF of 88,351 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 535,759
Given numbers has no common factors except 1. So, there LCM is their product i.e 406065
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 535,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(535,759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(535,759) x common factors =1 x 1 = 1
LCM(535,759) = ( 535 × 759 ) / 1
LCM(535,759) = 406065 / 1
LCM(535,759) = 406065
Lets's calculate GCF of 88,351
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 406065/1
Therefore the LCM of Fractions 535/88,759/351 is 406065
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Greatest Common Factor
We found the factors 88,351 . The biggest common factor number is the GCF number.
So the greatest common factor 88,351 is 1.
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 535/88, 759/351?
Answer: LCM of Numerators as per given numbers 535/88, 759/351 is
LCM of Numerators i.e. for 535,759 is 406065
GCF of denominators i.e. for 88,351 is 1.
Thus, LCM of Fractions is 406065.Finally, LCM of Fractions for 535/88, 759/351 is 406065.