Find the LCM of 463, 715, 407, 646 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 463, 715, 407, 646. So, keep reading to learn more.
Given numbers are 463,715,407,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,715,407,646 is 7912637590.
Find LCM of 463,715,407,646 with Prime Factorization
11 | 463, 715, 407, 646 |
463, 65, 37, 646 |
Multiply the prime numbers at the bottom and the left side.
11 x 463 x 65 x 37 x 646 = 7912637590
Therefore, the lowest common multiple of 463,715,407,646 is 7912637590.
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.
463 x 715 x 407 x 646 = 87039013490
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.
463 : 1, 463
715 : 1, 5, 11, 13, 55, 65, 143, 715
407 : 1, 11, 37, 407
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,715,407,646, is 1.
Now, the common factors can be found like this.
463:463
715:5x 11x 13
407:11x 37
646:2x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 87039013490/(1x11)
LCM = 87039013490/11
LCM = 7912637590
Thus, we can understand that the LCM of 463,715,407,646 is 7912637590.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 463, 715, 407, 646?
Answer: LCM of 463, 715, 407, 646 is 7912637590.
2. How to calculate the LCM of 463, 715, 407, 646?
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 463, 715, 407, 646.
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}.