Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 279/272, 1602/534 quickly i.e. 24831 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 279/272, 1602/534 is 24831.
LCM(279/272, 1602/534) = 24831
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 279/272,1602/534
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 279,1602
Least Common Multiple of Numerators i.e. LCM of 279,1602 is 49662.
GCF of Denominators means GCF of 272,534 as per the given fractions.
GCF of 272,534 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 279,1602
3 | 279, 1602 |
3 | 93, 534 |
31, 178 |
∴ So the LCM of the given numbers is 3 x 3 x 31 x 178 = 49662
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 279,1602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,1602) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(279,1602) x common factors =9 x 1 = 9
LCM(279,1602) = ( 279 × 1602 ) / 9
LCM(279,1602) = 446958 / 9
LCM(279,1602) = 49662
Lets's calculate GCF of 272,534
2 | 272, 534 |
136, 267 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49662/2
Therefore the LCM of Fractions 279/272,1602/534 is 24831
Factors of 272
List of positive integer factors of 272 that divides 272 without a remainder.
1,2,4,8,16,17,34,68,136,272
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Greatest Common Factor
We found the factors 272,534 . The biggest common factor number is the GCF number.
So the greatest common factor 272,534 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 279/272, 1602/534?
Answer: LCM of Numerators as per given numbers 279/272, 1602/534 is
LCM of Numerators i.e. for 279,1602 is 49662
GCF of denominators i.e. for 272,534 is 2.
Thus, LCM of Fractions is 24831.Finally, LCM of Fractions for 279/272, 1602/534 is 24831.