Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 640/597, 4915/180 quickly i.e. 629120/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 640/597, 4915/180 is 629120/3.
LCM(640/597, 4915/180) = 629120/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 640/597,4915/180
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 640,4915
Least Common Multiple of Numerators i.e. LCM of 640,4915 is 629120.
GCF of Denominators means GCF of 597,180 as per the given fractions.
GCF of 597,180 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 640,4915
5 | 640, 4915 |
128, 983 |
∴ So the LCM of the given numbers is 5 x 128 x 983 = 629120
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 640,4915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,4915) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(640,4915) x common factors =5 x 1 = 5
LCM(640,4915) = ( 640 × 4915 ) / 5
LCM(640,4915) = 3145600 / 5
LCM(640,4915) = 629120
Lets's calculate GCF of 597,180
3 | 597, 180 |
199, 60 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 629120/3
Therefore the LCM of Fractions 640/597,4915/180 is 629120/3
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Factors of 180
List of positive integer factors of 180 that divides 180 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Greatest Common Factor
We found the factors 597,180 . The biggest common factor number is the GCF number.
So the greatest common factor 597,180 is 3.
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 640/597, 4915/180?
Answer: LCM of Numerators as per given numbers 640/597, 4915/180 is
LCM of Numerators i.e. for 640,4915 is 629120
GCF of denominators i.e. for 597,180 is 3.
Thus, LCM of Fractions is 629120/3.Finally, LCM of Fractions for 640/597, 4915/180 is 629120/3.