Find the LCM of 284, 389, 565, 389, 607 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 284, 389, 565, 389, 607. So, keep reading to learn more.
Given numbers are 284,389,565,389,607
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 284,389,565,389,607 is 37888296580.
Find LCM of 284,389,565,389,607 with Prime Factorization
389 | 284, 389, 565, 389, 607 |
284, 1, 565, 1, 607 |
Multiply the prime numbers at the bottom and the left side.
389 x 284 x 1 x 565 x 1 x 607 = 37888296580
Therefore, the lowest common multiple of 284,389,565,389,607 is 37888296580.
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.
284 x 389 x 565 x 389 x 607 = 14738547369620
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.
284 : 1, 2, 4, 71, 142, 284
389 : 1, 389
565 : 1, 5, 113, 565
389 : 1, 389
607 : 1, 607
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,389,565,389,607, is 1.
Now, the common factors can be found like this.
284:2x 2x 71
389:389
565:5x 113
389:389
607:607
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
389 = 389
Therefore, the value for common factors is 389.
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 = 14738547369620/(1x389)
LCM = 14738547369620/389
LCM = 37888296580
Thus, we can understand that the LCM of 284,389,565,389,607 is 37888296580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 284, 389, 565, 389, 607?
Answer: LCM of 284, 389, 565, 389, 607 is 37888296580.
2. How to calculate the LCM of 284, 389, 565, 389, 607?
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 284, 389, 565, 389, 607.
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}.