Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 640/178, 5423/5160 quickly i.e. 1735360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 640/178, 5423/5160 is 1735360.
LCM(640/178, 5423/5160) = 1735360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 640/178,5423/5160
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 640,5423
Least Common Multiple of Numerators i.e. LCM of 640,5423 is 3470720.
GCF of Denominators means GCF of 178,5160 as per the given fractions.
GCF of 178,5160 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 640,5423
Given numbers has no common factors except 1. So, there LCM is their product i.e 3470720
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 640,5423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,5423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(640,5423) x common factors =1 x 1 = 1
LCM(640,5423) = ( 640 × 5423 ) / 1
LCM(640,5423) = 3470720 / 1
LCM(640,5423) = 3470720
Lets's calculate GCF of 178,5160
2 | 178, 5160 |
89, 2580 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3470720/2
Therefore the LCM of Fractions 640/178,5423/5160 is 1735360
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 5160
List of positive integer factors of 5160 that divides 5160 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,43,60,86,120,129,172,215,258,344,430,516,645,860,1032,1290,1720,2580,5160
Greatest Common Factor
We found the factors 178,5160 . The biggest common factor number is the GCF number.
So the greatest common factor 178,5160 is 2.
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 640/178, 5423/5160?
Answer: LCM of Numerators as per given numbers 640/178, 5423/5160 is
LCM of Numerators i.e. for 640,5423 is 3470720
GCF of denominators i.e. for 178,5160 is 2.
Thus, LCM of Fractions is 1735360.Finally, LCM of Fractions for 640/178, 5423/5160 is 1735360.