Find the LCM of 587, 384, 550, 550 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 587, 384, 550, 550. So, keep reading to learn more.
Given numbers are 587,384,550,550
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 587,384,550,550 is 61987200.
Find LCM of 587,384,550,550 with Prime Factorization
2 | 587, 384, 550, 550 |
5 | 587, 192, 275, 275 |
5 | 587, 192, 55, 55 |
11 | 587, 192, 11, 11 |
587, 192, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 11 x 587 x 192 x 1 x 1 = 61987200
Therefore, the lowest common multiple of 587,384,550,550 is 61987200.
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.
587 x 384 x 550 x 550 = 68185920000
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.
587 : 1, 587
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,384,550,550, is 1.
Now, the common factors can be found like this.
587:587
384:2x 2x 2x 2x 2x 2x 2x 3
550:2x 5x 5x 11
550:2x 5x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5x 5x 11 = 1100
Therefore, the value for common factors is 1100.
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 = 68185920000/(1x1100)
LCM = 68185920000/1100
LCM = 61987200
Thus, we can understand that the LCM of 587,384,550,550 is 61987200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 587, 384, 550, 550?
Answer: LCM of 587, 384, 550, 550 is 61987200.
2. How to calculate the LCM of 587, 384, 550, 550?
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 587, 384, 550, 550.
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}.