Find the LCM of 172, 741, 355, 817, 463 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 172, 741, 355, 817, 463. So, keep reading to learn more.
Given numbers are 172,741,355,817,463
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 172,741,355,817,463 is 20948647980.
Find LCM of 172,741,355,817,463 with Prime Factorization
19 | 172, 741, 355, 817, 463 |
43 | 172, 39, 355, 43, 463 |
4, 39, 355, 1, 463 |
Multiply the prime numbers at the bottom and the left side.
19 x 43 x 4 x 39 x 355 x 1 x 463 = 20948647980
Therefore, the lowest common multiple of 172,741,355,817,463 is 20948647980.
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.
172 x 741 x 355 x 817 x 463 = 17115045399660
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.
172 : 1, 2, 4, 43, 86, 172
741 : 1, 3, 13, 19, 39, 57, 247, 741
355 : 1, 5, 71, 355
817 : 1, 19, 43, 817
463 : 1, 463
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 172,741,355,817,463, is 1.
Now, the common factors can be found like this.
172:2x 2x 43
741:3x 13x 19
355:5x 71
817:19x 43
463:463
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 43 = 817
Therefore, the value for common factors is 817.
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 = 17115045399660/(1x817)
LCM = 17115045399660/817
LCM = 20948647980
Thus, we can understand that the LCM of 172,741,355,817,463 is 20948647980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 172, 741, 355, 817, 463?
Answer: LCM of 172, 741, 355, 817, 463 is 20948647980.
2. How to calculate the LCM of 172, 741, 355, 817, 463?
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 172, 741, 355, 817, 463.
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}.