Find the LCM of 359, 476, 960, 578, 782 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 359, 476, 960, 578, 782. So, keep reading to learn more.
Given numbers are 359,476,960,578,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,476,960,578,782 is 16035754560.
Find LCM of 359,476,960,578,782 with Prime Factorization
2 | 359, 476, 960, 578, 782 |
2 | 359, 238, 480, 289, 391 |
17 | 359, 119, 240, 289, 391 |
359, 7, 240, 17, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 359 x 7 x 240 x 17 x 23 = 16035754560
Therefore, the lowest common multiple of 359,476,960,578,782 is 16035754560.
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.
359 x 476 x 960 x 578 x 782 = 74149329085440
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.
359 : 1, 359
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
578 : 1, 2, 17, 34, 289, 578
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,476,960,578,782, is 1.
Now, the common factors can be found like this.
359:359
476:2x 2x 7x 17
960:2x 2x 2x 2x 2x 2x 3x 5
578:2x 17x 17
782:2x 17x 23
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 17x 17 = 4624
Therefore, the value for common factors is 4624.
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 = 74149329085440/(1x4624)
LCM = 74149329085440/4624
LCM = 16035754560
Thus, we can understand that the LCM of 359,476,960,578,782 is 16035754560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 359, 476, 960, 578, 782?
Answer: LCM of 359, 476, 960, 578, 782 is 16035754560.
2. How to calculate the LCM of 359, 476, 960, 578, 782?
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 359, 476, 960, 578, 782.
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}.