Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5402/54, 2850/596 quickly i.e. 3848925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5402/54, 2850/596 is 3848925.
LCM(5402/54, 2850/596) = 3848925
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5402/54,2850/596
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 5402,2850
Least Common Multiple of Numerators i.e. LCM of 5402,2850 is 7697850.
GCF of Denominators means GCF of 54,596 as per the given fractions.
GCF of 54,596 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5402,2850
2 | 5402, 2850 |
2701, 1425 |
∴ So the LCM of the given numbers is 2 x 2701 x 1425 = 7697850
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 5402,2850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5402,2850) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(5402,2850) x common factors =2 x 1 = 2
LCM(5402,2850) = ( 5402 × 2850 ) / 2
LCM(5402,2850) = 15395700 / 2
LCM(5402,2850) = 7697850
Lets's calculate GCF of 54,596
2 | 54, 596 |
27, 298 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7697850/2
Therefore the LCM of Fractions 5402/54,2850/596 is 3848925
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1,2,4,149,298,596
Greatest Common Factor
We found the factors 54,596 . The biggest common factor number is the GCF number.
So the greatest common factor 54,596 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 5402/54, 2850/596?
Answer: LCM of Numerators as per given numbers 5402/54, 2850/596 is
LCM of Numerators i.e. for 5402,2850 is 7697850
GCF of denominators i.e. for 54,596 is 2.
Thus, LCM of Fractions is 3848925.Finally, LCM of Fractions for 5402/54, 2850/596 is 3848925.