Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/742, 75/184, 273/724 quickly i.e. 47775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/742, 75/184, 273/724 is 47775.
LCM(98/742, 75/184, 273/724) = 47775
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/742,75/184,273/724
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 98,75,273
Least Common Multiple of Numerators i.e. LCM of 98,75,273 is 95550.
GCF of Denominators means GCF of 742,184,724 as per the given fractions.
GCF of 742,184,724 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,75,273
3 | 98, 75, 273 |
7 | 98, 25, 91 |
14, 25, 13 |
∴ So the LCM of the given numbers is 3 x 7 x 14 x 25 x 13 = 95550
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 98,75,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,75,273) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(98,75,273) x common factors =1 x 21 = 21
LCM(98,75,273) = ( 98 × 75 × 273 ) / 21
LCM(98,75,273) = 2006550 / 21
LCM(98,75,273) = 95550
Lets's calculate GCF of 742,184,724
2 | 742, 184, 724 |
371, 92, 362 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95550/2
Therefore the LCM of Fractions 98/742,75/184,273/724 is 47775
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Greatest Common Factor
We found the factors 742,184,724 . The biggest common factor number is the GCF number.
So the greatest common factor 742,184,724 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 98/742, 75/184, 273/724?
Answer: LCM of Numerators as per given numbers 98/742, 75/184, 273/724 is
LCM of Numerators i.e. for 98,75,273 is 95550
GCF of denominators i.e. for 742,184,724 is 2.
Thus, LCM of Fractions is 47775.Finally, LCM of Fractions for 98/742, 75/184, 273/724 is 47775.