Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 198/65, 980/72, 746/218 quickly i.e. 36188460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 198/65, 980/72, 746/218 is 36188460.
LCM(198/65, 980/72, 746/218) = 36188460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 198/65,980/72,746/218
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 198,980,746
Least Common Multiple of Numerators i.e. LCM of 198,980,746 is 36188460.
GCF of Denominators means GCF of 65,72,218 as per the given fractions.
GCF of 65,72,218 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 198,980,746
2 | 198, 980, 746 |
99, 490, 373 |
∴ So the LCM of the given numbers is 2 x 99 x 490 x 373 = 36188460
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 198,980,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,980,746) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(198,980,746) x common factors =2 x 2 = 4
LCM(198,980,746) = ( 198 × 980 × 746 ) / 4
LCM(198,980,746) = 144753840 / 4
LCM(198,980,746) = 36188460
Lets's calculate GCF of 65,72,218
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36188460/1
Therefore the LCM of Fractions 198/65,980/72,746/218 is 36188460
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Greatest Common Factor
We found the factors 65,72,218 . The biggest common factor number is the GCF number.
So the greatest common factor 65,72,218 is 1.
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 198/65, 980/72, 746/218?
Answer: LCM of Numerators as per given numbers 198/65, 980/72, 746/218 is
LCM of Numerators i.e. for 198,980,746 is 36188460
GCF of denominators i.e. for 65,72,218 is 1.
Thus, LCM of Fractions is 36188460.Finally, LCM of Fractions for 198/65, 980/72, 746/218 is 36188460.