Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/14, 99/32, 270/729 quickly i.e. 145530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/14, 99/32, 270/729 is 145530.
LCM(98/14, 99/32, 270/729) = 145530
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/14,99/32,270/729
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 98,99,270
Least Common Multiple of Numerators i.e. LCM of 98,99,270 is 145530.
GCF of Denominators means GCF of 14,32,729 as per the given fractions.
GCF of 14,32,729 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,99,270
2 | 98, 99, 270 |
3 | 49, 99, 135 |
3 | 49, 33, 45 |
49, 11, 15 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 49 x 11 x 15 = 145530
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 98,99,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,99,270) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(98,99,270) x common factors =1 x 18 = 18
LCM(98,99,270) = ( 98 × 99 × 270 ) / 18
LCM(98,99,270) = 2619540 / 18
LCM(98,99,270) = 145530
Lets's calculate GCF of 14,32,729
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145530/1
Therefore the LCM of Fractions 98/14,99/32,270/729 is 145530
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1,3,9,27,81,243,729
Greatest Common Factor
We found the factors 14,32,729 . The biggest common factor number is the GCF number.
So the greatest common factor 14,32,729 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 98/14, 99/32, 270/729?
Answer: LCM of Numerators as per given numbers 98/14, 99/32, 270/729 is
LCM of Numerators i.e. for 98,99,270 is 145530
GCF of denominators i.e. for 14,32,729 is 1.
Thus, LCM of Fractions is 145530.Finally, LCM of Fractions for 98/14, 99/32, 270/729 is 145530.