Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 520/898, 2724/792 quickly i.e. 177060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 520/898, 2724/792 is 177060.
LCM(520/898, 2724/792) = 177060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 520/898,2724/792
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 520,2724
Least Common Multiple of Numerators i.e. LCM of 520,2724 is 354120.
GCF of Denominators means GCF of 898,792 as per the given fractions.
GCF of 898,792 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 520,2724
2 | 520, 2724 |
2 | 260, 1362 |
130, 681 |
∴ So the LCM of the given numbers is 2 x 2 x 130 x 681 = 354120
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 520,2724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(520,2724) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(520,2724) x common factors =4 x 1 = 4
LCM(520,2724) = ( 520 × 2724 ) / 4
LCM(520,2724) = 1416480 / 4
LCM(520,2724) = 354120
Lets's calculate GCF of 898,792
2 | 898, 792 |
449, 396 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 354120/2
Therefore the LCM of Fractions 520/898,2724/792 is 177060
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Greatest Common Factor
We found the factors 898,792 . The biggest common factor number is the GCF number.
So the greatest common factor 898,792 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 520/898, 2724/792?
Answer: LCM of Numerators as per given numbers 520/898, 2724/792 is
LCM of Numerators i.e. for 520,2724 is 354120
GCF of denominators i.e. for 898,792 is 2.
Thus, LCM of Fractions is 177060.Finally, LCM of Fractions for 520/898, 2724/792 is 177060.