Find the LCM of 776, 437, 864, 361, 698 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 776, 437, 864, 361, 698. So, keep reading to learn more.
Given numbers are 776,437,864,361,698
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 776,437,864,361,698 is 242854380576.
Find LCM of 776,437,864,361,698 with Prime Factorization
2 | 776, 437, 864, 361, 698 |
2 | 388, 437, 432, 361, 349 |
2 | 194, 437, 216, 361, 349 |
19 | 97, 437, 108, 361, 349 |
97, 23, 108, 19, 349 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 97 x 23 x 108 x 19 x 349 = 242854380576
Therefore, the lowest common multiple of 776,437,864,361,698 is 242854380576.
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.
776 x 437 x 864 x 361 x 698 = 73827731695104
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.
776 : 1, 2, 4, 8, 97, 194, 388, 776
437 : 1, 19, 23, 437
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
361 : 1, 19, 361
698 : 1, 2, 349, 698
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 776,437,864,361,698, is 1.
Now, the common factors can be found like this.
776:2x 2x 2x 97
437:19x 23
864:2x 2x 2x 2x 2x 3x 3x 3
361:19x 19
698:2x 349
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 19 = 304
Therefore, the value for common factors is 304.
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 = 73827731695104/(1x304)
LCM = 73827731695104/304
LCM = 242854380576
Thus, we can understand that the LCM of 776,437,864,361,698 is 242854380576.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 776, 437, 864, 361, 698?
Answer: LCM of 776, 437, 864, 361, 698 is 242854380576.
2. How to calculate the LCM of 776, 437, 864, 361, 698?
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 776, 437, 864, 361, 698.
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}.