Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 720/174, 1239/812 quickly i.e. 297360/58 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 720/174, 1239/812 is 297360/58.
LCM(720/174, 1239/812) = 297360/58
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 720/174,1239/812
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 720,1239
Least Common Multiple of Numerators i.e. LCM of 720,1239 is 297360.
GCF of Denominators means GCF of 174,812 as per the given fractions.
GCF of 174,812 is 58 as it is the largest common factor for these numbers.
Lets's calculate LCM of 720,1239
3 | 720, 1239 |
240, 413 |
∴ So the LCM of the given numbers is 3 x 240 x 413 = 297360
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 720,1239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,1239) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(720,1239) x common factors =3 x 1 = 3
LCM(720,1239) = ( 720 × 1239 ) / 3
LCM(720,1239) = 892080 / 3
LCM(720,1239) = 297360
Lets's calculate GCF of 174,812
2 | 174, 812 |
29 | 87, 406 |
3, 14 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 297360/58
Therefore the LCM of Fractions 720/174,1239/812 is 297360/58
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1,2,3,6,29,58,87,174
Factors of 812
List of positive integer factors of 812 that divides 812 without a remainder.
1,2,4,7,14,28,29,58,116,203,406,812
Greatest Common Factor
We found the factors 174,812 . The biggest common factor number is the GCF number.
So the greatest common factor 174,812 is 58.
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 720/174, 1239/812?
Answer: LCM of Numerators as per given numbers 720/174, 1239/812 is
LCM of Numerators i.e. for 720,1239 is 297360
GCF of denominators i.e. for 174,812 is 58.
Thus, LCM of Fractions is 297360/58.Finally, LCM of Fractions for 720/174, 1239/812 is 297360/58.