Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 350/58, 505/40, 532/351 quickly i.e. 1343300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 350/58, 505/40, 532/351 is 1343300.
LCM(350/58, 505/40, 532/351) = 1343300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 350/58,505/40,532/351
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 350,505,532
Least Common Multiple of Numerators i.e. LCM of 350,505,532 is 1343300.
GCF of Denominators means GCF of 58,40,351 as per the given fractions.
GCF of 58,40,351 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 350,505,532
2 | 350, 505, 532 |
5 | 175, 505, 266 |
7 | 35, 101, 266 |
5, 101, 38 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 5 x 101 x 38 = 1343300
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 350,505,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,505,532) = 1
common factors(in case of two or more numbers have common factors) = 70
GCF(350,505,532) x common factors =1 x 70 = 70
LCM(350,505,532) = ( 350 × 505 × 532 ) / 70
LCM(350,505,532) = 94031000 / 70
LCM(350,505,532) = 1343300
Lets's calculate GCF of 58,40,351
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1343300/1
Therefore the LCM of Fractions 350/58,505/40,532/351 is 1343300
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
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 58,40,351 . The biggest common factor number is the GCF number.
So the greatest common factor 58,40,351 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 350/58, 505/40, 532/351?
Answer: LCM of Numerators as per given numbers 350/58, 505/40, 532/351 is
LCM of Numerators i.e. for 350,505,532 is 1343300
GCF of denominators i.e. for 58,40,351 is 1.
Thus, LCM of Fractions is 1343300.Finally, LCM of Fractions for 350/58, 505/40, 532/351 is 1343300.