Find the LCM of 629, 817, 589, 920 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 629, 817, 589, 920. So, keep reading to learn more.
Given numbers are 629,817,589,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 629,817,589,920 is 14656228360.
Find LCM of 629,817,589,920 with Prime Factorization
19 | 629, 817, 589, 920 |
629, 43, 31, 920 |
Multiply the prime numbers at the bottom and the left side.
19 x 629 x 43 x 31 x 920 = 14656228360
Therefore, the lowest common multiple of 629,817,589,920 is 14656228360.
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.
629 x 817 x 589 x 920 = 278468338840
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.
629 : 1, 17, 37, 629
817 : 1, 19, 43, 817
589 : 1, 19, 31, 589
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,817,589,920, is 1.
Now, the common factors can be found like this.
629:17x 37
817:19x 43
589:19x 31
920:2x 2x 2x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 278468338840/(1x19)
LCM = 278468338840/19
LCM = 14656228360
Thus, we can understand that the LCM of 629,817,589,920 is 14656228360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 629, 817, 589, 920?
Answer: LCM of 629, 817, 589, 920 is 14656228360.
2. How to calculate the LCM of 629, 817, 589, 920?
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 629, 817, 589, 920.
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}.