Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 336/898, 565/660 quickly i.e. 94920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 336/898, 565/660 is 94920.
LCM(336/898, 565/660) = 94920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 336/898,565/660
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 336,565
Least Common Multiple of Numerators i.e. LCM of 336,565 is 189840.
GCF of Denominators means GCF of 898,660 as per the given fractions.
GCF of 898,660 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 336,565
Given numbers has no common factors except 1. So, there LCM is their product i.e 189840
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 336,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(336,565) x common factors =1 x 1 = 1
LCM(336,565) = ( 336 × 565 ) / 1
LCM(336,565) = 189840 / 1
LCM(336,565) = 189840
Lets's calculate GCF of 898,660
2 | 898, 660 |
449, 330 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189840/2
Therefore the LCM of Fractions 336/898,565/660 is 94920
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
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
Greatest Common Factor
We found the factors 898,660 . The biggest common factor number is the GCF number.
So the greatest common factor 898,660 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 336/898, 565/660?
Answer: LCM of Numerators as per given numbers 336/898, 565/660 is
LCM of Numerators i.e. for 336,565 is 189840
GCF of denominators i.e. for 898,660 is 2.
Thus, LCM of Fractions is 94920.Finally, LCM of Fractions for 336/898, 565/660 is 94920.