Find the LCM of 477, 529, 529, 643 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 477, 529, 529, 643. So, keep reading to learn more.
Given numbers are 477,529,529,643
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 477,529,529,643 is 162250119.
Find LCM of 477,529,529,643 with Prime Factorization
23 | 477, 529, 529, 643 |
23 | 477, 23, 23, 643 |
477, 1, 1, 643 |
Multiply the prime numbers at the bottom and the left side.
23 x 23 x 477 x 1 x 1 x 643 = 162250119
Therefore, the lowest common multiple of 477,529,529,643 is 162250119.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
477 x 529 x 529 x 643 = 85830312951
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
477 : 1, 3, 9, 53, 159, 477
529 : 1, 23, 529
529 : 1, 23, 529
643 : 1, 643
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,529,529,643, is 1.
Now, the common factors can be found like this.
477:3x 3x 53
529:23x 23
529:23x 23
643:643
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 23 = 529
Therefore, the value for common factors is 529.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 85830312951/(1x529)
LCM = 85830312951/529
LCM = 162250119
Thus, we can understand that the LCM of 477,529,529,643 is 162250119.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 477, 529, 529, 643?
Answer: LCM of 477, 529, 529, 643 is 162250119.
2. How to calculate the LCM of 477, 529, 529, 643?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 477, 529, 529, 643.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.