Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 556/79, 850/4582 quickly i.e. 236300/79 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 556/79, 850/4582 is 236300/79.
LCM(556/79, 850/4582) = 236300/79
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 556/79,850/4582
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 556,850
Least Common Multiple of Numerators i.e. LCM of 556,850 is 236300.
GCF of Denominators means GCF of 79,4582 as per the given fractions.
GCF of 79,4582 is 79 as it is the largest common factor for these numbers.
Lets's calculate LCM of 556,850
2 | 556, 850 |
278, 425 |
∴ So the LCM of the given numbers is 2 x 278 x 425 = 236300
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 556,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,850) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(556,850) x common factors =2 x 1 = 2
LCM(556,850) = ( 556 × 850 ) / 2
LCM(556,850) = 472600 / 2
LCM(556,850) = 236300
Lets's calculate GCF of 79,4582
79 | 79, 4582 |
1, 58 |
∴ So the GCF of the given numbers is 79 = 79
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 236300/79
Therefore the LCM of Fractions 556/79,850/4582 is 236300/79
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 4582
List of positive integer factors of 4582 that divides 4582 without a remainder.
1,2,29,58,79,158,2291,4582
Greatest Common Factor
We found the factors 79,4582 . The biggest common factor number is the GCF number.
So the greatest common factor 79,4582 is 79.
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 556/79, 850/4582?
Answer: LCM of Numerators as per given numbers 556/79, 850/4582 is
LCM of Numerators i.e. for 556,850 is 236300
GCF of denominators i.e. for 79,4582 is 79.
Thus, LCM of Fractions is 236300/79.Finally, LCM of Fractions for 556/79, 850/4582 is 236300/79.