Find the LCM of 515, 860, 901, 404, 402 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 515, 860, 901, 404, 402. So, keep reading to learn more.
Given numbers are 515,860,901,404,402
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,860,901,404,402 is 1620234584580.
Find LCM of 515,860,901,404,402 with Prime Factorization
2 | 515, 860, 901, 404, 402 |
2 | 515, 430, 901, 202, 201 |
5 | 515, 215, 901, 101, 201 |
103, 43, 901, 101, 201 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 103 x 43 x 901 x 101 x 201 = 1620234584580
Therefore, the lowest common multiple of 515,860,901,404,402 is 1620234584580.
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.
515 x 860 x 901 x 404 x 402 = 64809383383200
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.
515 : 1, 5, 103, 515
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
901 : 1, 17, 53, 901
404 : 1, 2, 4, 101, 202, 404
402 : 1, 2, 3, 6, 67, 134, 201, 402
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,860,901,404,402, is 1.
Now, the common factors can be found like this.
515:5x 103
860:2x 2x 5x 43
901:17x 53
404:2x 2x 101
402:2x 3x 67
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 5 = 40
Therefore, the value for common factors is 40.
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 = 64809383383200/(1x40)
LCM = 64809383383200/40
LCM = 1620234584580
Thus, we can understand that the LCM of 515,860,901,404,402 is 1620234584580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 515, 860, 901, 404, 402?
Answer: LCM of 515, 860, 901, 404, 402 is 1620234584580.
2. How to calculate the LCM of 515, 860, 901, 404, 402?
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 515, 860, 901, 404, 402.
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}.