Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/243, 657/28, 599/741 quickly i.e. 38567214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/243, 657/28, 599/741 is 38567214.
LCM(98/243, 657/28, 599/741) = 38567214
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/243,657/28,599/741
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 98,657,599
Least Common Multiple of Numerators i.e. LCM of 98,657,599 is 38567214.
GCF of Denominators means GCF of 243,28,741 as per the given fractions.
GCF of 243,28,741 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,657,599
Given numbers has no common factors except 1. So, there LCM is their product i.e 38567214
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 98,657,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,657,599) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(98,657,599) x common factors =1 x 1 = 1
LCM(98,657,599) = ( 98 × 657 × 599 ) / 1
LCM(98,657,599) = 38567214 / 1
LCM(98,657,599) = 38567214
Lets's calculate GCF of 243,28,741
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38567214/1
Therefore the LCM of Fractions 98/243,657/28,599/741 is 38567214
Factors of 243
List of positive integer factors of 243 that divides 243 without a remainder.
1,3,9,27,81,243
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Greatest Common Factor
We found the factors 243,28,741 . The biggest common factor number is the GCF number.
So the greatest common factor 243,28,741 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 98/243, 657/28, 599/741?
Answer: LCM of Numerators as per given numbers 98/243, 657/28, 599/741 is
LCM of Numerators i.e. for 98,657,599 is 38567214
GCF of denominators i.e. for 243,28,741 is 1.
Thus, LCM of Fractions is 38567214.Finally, LCM of Fractions for 98/243, 657/28, 599/741 is 38567214.