Find the LCM of 466, 814, 431, 752 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 466, 814, 431, 752. So, keep reading to learn more.
Given numbers are 466,814,431,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 466,814,431,752 is 30735865072.
Find LCM of 466,814,431,752 with Prime Factorization
2 | 466, 814, 431, 752 |
233, 407, 431, 376 |
Multiply the prime numbers at the bottom and the left side.
2 x 233 x 407 x 431 x 376 = 30735865072
Therefore, the lowest common multiple of 466,814,431,752 is 30735865072.
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.
466 x 814 x 431 x 752 = 122943460288
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.
466 : 1, 2, 233, 466
814 : 1, 2, 11, 22, 37, 74, 407, 814
431 : 1, 431
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,814,431,752, is 1.
Now, the common factors can be found like this.
466:2x 233
814:2x 11x 37
431:431
752:2x 2x 2x 2x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 122943460288/(1x4)
LCM = 122943460288/4
LCM = 30735865072
Thus, we can understand that the LCM of 466,814,431,752 is 30735865072.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 466, 814, 431, 752?
Answer: LCM of 466, 814, 431, 752 is 30735865072.
2. How to calculate the LCM of 466, 814, 431, 752?
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 466, 814, 431, 752.
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}.