Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 372/660, 5560/908 quickly i.e. 129270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 372/660, 5560/908 is 129270.
LCM(372/660, 5560/908) = 129270
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 372/660,5560/908
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 372,5560
Least Common Multiple of Numerators i.e. LCM of 372,5560 is 517080.
GCF of Denominators means GCF of 660,908 as per the given fractions.
GCF of 660,908 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 372,5560
2 | 372, 5560 |
2 | 186, 2780 |
93, 1390 |
∴ So the LCM of the given numbers is 2 x 2 x 93 x 1390 = 517080
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 372,5560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,5560) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(372,5560) x common factors =4 x 1 = 4
LCM(372,5560) = ( 372 × 5560 ) / 4
LCM(372,5560) = 2068320 / 4
LCM(372,5560) = 517080
Lets's calculate GCF of 660,908
2 | 660, 908 |
2 | 330, 454 |
165, 227 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 517080/4
Therefore the LCM of Fractions 372/660,5560/908 is 129270
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Greatest Common Factor
We found the factors 660,908 . The biggest common factor number is the GCF number.
So the greatest common factor 660,908 is 4.
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 372/660, 5560/908?
Answer: LCM of Numerators as per given numbers 372/660, 5560/908 is
LCM of Numerators i.e. for 372,5560 is 517080
GCF of denominators i.e. for 660,908 is 4.
Thus, LCM of Fractions is 129270.Finally, LCM of Fractions for 372/660, 5560/908 is 129270.