Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 253/150, 5714/7170 quickly i.e. 1445642/30 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 253/150, 5714/7170 is 1445642/30.
LCM(253/150, 5714/7170) = 1445642/30
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 253/150,5714/7170
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 253,5714
Least Common Multiple of Numerators i.e. LCM of 253,5714 is 1445642.
GCF of Denominators means GCF of 150,7170 as per the given fractions.
GCF of 150,7170 is 30 as it is the largest common factor for these numbers.
Lets's calculate LCM of 253,5714
Given numbers has no common factors except 1. So, there LCM is their product i.e 1445642
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 253,5714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,5714) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(253,5714) x common factors =1 x 1 = 1
LCM(253,5714) = ( 253 × 5714 ) / 1
LCM(253,5714) = 1445642 / 1
LCM(253,5714) = 1445642
Lets's calculate GCF of 150,7170
2 | 150, 7170 |
3 | 75, 3585 |
5 | 25, 1195 |
5, 239 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1445642/30
Therefore the LCM of Fractions 253/150,5714/7170 is 1445642/30
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Factors of 7170
List of positive integer factors of 7170 that divides 7170 without a remainder.
1,2,3,5,6,10,15,30,239,478,717,1195,1434,2390,3585,7170
Greatest Common Factor
We found the factors 150,7170 . The biggest common factor number is the GCF number.
So the greatest common factor 150,7170 is 30.
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 253/150, 5714/7170?
Answer: LCM of Numerators as per given numbers 253/150, 5714/7170 is
LCM of Numerators i.e. for 253,5714 is 1445642
GCF of denominators i.e. for 150,7170 is 30.
Thus, LCM of Fractions is 1445642/30.Finally, LCM of Fractions for 253/150, 5714/7170 is 1445642/30.