Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5924/350, 8559/175 quickly i.e. 50703516/175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5924/350, 8559/175 is 50703516/175.
LCM(5924/350, 8559/175) = 50703516/175
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5924/350,8559/175
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 5924,8559
Least Common Multiple of Numerators i.e. LCM of 5924,8559 is 50703516.
GCF of Denominators means GCF of 350,175 as per the given fractions.
GCF of 350,175 is 175 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5924,8559
Given numbers has no common factors except 1. So, there LCM is their product i.e 50703516
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 5924,8559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5924,8559) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5924,8559) x common factors =1 x 1 = 1
LCM(5924,8559) = ( 5924 × 8559 ) / 1
LCM(5924,8559) = 50703516 / 1
LCM(5924,8559) = 50703516
Lets's calculate GCF of 350,175
5 | 350, 175 |
5 | 70, 35 |
7 | 14, 7 |
2, 1 |
∴ So the GCF of the given numbers is 5 x 5 x 7 = 175
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50703516/175
Therefore the LCM of Fractions 5924/350,8559/175 is 50703516/175
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Greatest Common Factor
We found the factors 350,175 . The biggest common factor number is the GCF number.
So the greatest common factor 350,175 is 175.
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 5924/350, 8559/175?
Answer: LCM of Numerators as per given numbers 5924/350, 8559/175 is
LCM of Numerators i.e. for 5924,8559 is 50703516
GCF of denominators i.e. for 350,175 is 175.
Thus, LCM of Fractions is 50703516/175.Finally, LCM of Fractions for 5924/350, 8559/175 is 50703516/175.