Find the LCM of 705, 559, 566, 423, 677 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 705, 559, 566, 423, 677. So, keep reading to learn more.
Given numbers are 705,559,566,423,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,559,566,423,677 is 453030330870.
Find LCM of 705,559,566,423,677 with Prime Factorization
3 | 705, 559, 566, 423, 677 |
47 | 235, 559, 566, 141, 677 |
5, 559, 566, 3, 677 |
Multiply the prime numbers at the bottom and the left side.
3 x 47 x 5 x 559 x 566 x 3 x 677 = 453030330870
Therefore, the lowest common multiple of 705,559,566,423,677 is 453030330870.
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.
705 x 559 x 566 x 423 x 677 = 63877276652670
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
559 : 1, 13, 43, 559
566 : 1, 2, 283, 566
423 : 1, 3, 9, 47, 141, 423
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,559,566,423,677, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
559:13x 43
566:2x 283
423:3x 3x 47
677:677
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 47 = 141
Therefore, the value for common factors is 141.
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 = 63877276652670/(1x141)
LCM = 63877276652670/141
LCM = 453030330870
Thus, we can understand that the LCM of 705,559,566,423,677 is 453030330870.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 705, 559, 566, 423, 677?
Answer: LCM of 705, 559, 566, 423, 677 is 453030330870.
2. How to calculate the LCM of 705, 559, 566, 423, 677?
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 705, 559, 566, 423, 677.
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}.