Find the LCM of 736, 446, 368, 407, 629 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 736, 446, 368, 407, 629. So, keep reading to learn more.
Given numbers are 736,446,368,407,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,446,368,407,629 is 1135601632.
Find LCM of 736,446,368,407,629 with Prime Factorization
2 | 736, 446, 368, 407, 629 |
2 | 368, 223, 184, 407, 629 |
2 | 92, 223, 184, 407, 629 |
2 | 46, 223, 92, 407, 629 |
23 | 23, 223, 46, 407, 629 |
37 | 1, 223, 2, 407, 629 |
1, 223, 2, 11, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 23 x 37 x 1 x 223 x 2 x 11 x 17 = 1135601632
Therefore, the lowest common multiple of 736,446,368,407,629 is 1135601632.
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.
736 x 446 x 368 x 407 x 629 = 30924703642624
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
446 : 1, 2, 223, 446
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
407 : 1, 11, 37, 407
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,446,368,407,629, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
446:2x 223
368:2x 2x 2x 2x 23
407:11x 37
629:17x 37
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 2x 23x 37 = 27232
Therefore, the value for common factors is 27232.
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 = 30924703642624/(1x27232)
LCM = 30924703642624/27232
LCM = 1135601632
Thus, we can understand that the LCM of 736,446,368,407,629 is 1135601632.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 736, 446, 368, 407, 629?
Answer: LCM of 736, 446, 368, 407, 629 is 1135601632.
2. How to calculate the LCM of 736, 446, 368, 407, 629?
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 736, 446, 368, 407, 629.
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}.