LCM of 555, 556, 560, 648, 659
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 555, 556, 560, 648, 659 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 555, 556, 560, 648, 659. So, keep reading to learn more.
Given numbers are 555,556,560,648,659
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 555,556,560,648,659 is 153735790320.
Find LCM of 555,556,560,648,659 with Prime Factorization
| 2 | 555, 556, 560, 648, 659 |
| 2 | 555, 278, 280, 324, 659 |
| 2 | 555, 139, 140, 162, 659 |
| 3 | 555, 139, 70, 81, 659 |
| 5 | 185, 139, 70, 27, 659 |
| 37, 139, 14, 27, 659 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 37 x 139 x 14 x 27 x 659 = 153735790320
Therefore, the lowest common multiple of 555,556,560,648,659 is 153735790320.
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.
555 x 556 x 560 x 648 x 659 = 73793179353600
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.
555 : 1, 3, 5, 15, 37, 111, 185, 555
556 : 1, 2, 4, 139, 278, 556
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
659 : 1, 659
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 555,556,560,648,659, is 1.
Now, the common factors can be found like this.
555:3x 5x 37
556:2x 2x 139
560:2x 2x 2x 2x 5x 7
648:2x 2x 2x 3x 3x 3x 3
659:659
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 2x 2x 2x 3x 5 = 480
Therefore, the value for common factors is 480.
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 = 73793179353600/(1x480)
LCM = 73793179353600/480
LCM = 153735790320
Thus, we can understand that the LCM of 555,556,560,648,659 is 153735790320.
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FAQs on LCM of 555, 556, 560, 648, 659
1. What is the LCM of 555, 556, 560, 648, 659?
Answer: LCM of 555, 556, 560, 648, 659 is 153735790320.
2. How to calculate the LCM of 555, 556, 560, 648, 659?
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 555, 556, 560, 648, 659.
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}.