Find the LCM of 464, 412, 752, 782, 850 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 464, 412, 752, 782, 850. So, keep reading to learn more.
Given numbers are 464,412,752,782,850
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 464,412,752,782,850 is 21956839600.
Find LCM of 464,412,752,782,850 with Prime Factorization
2 | 464, 412, 752, 782, 850 |
2 | 232, 206, 376, 391, 425 |
2 | 116, 103, 188, 391, 425 |
2 | 58, 103, 94, 391, 425 |
17 | 29, 103, 47, 391, 425 |
29, 103, 47, 23, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 17 x 29 x 103 x 47 x 23 x 25 = 21956839600
Therefore, the lowest common multiple of 464,412,752,782,850 is 21956839600.
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.
464 x 412 x 752 x 782 x 850 = 95556165939200
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.
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
412 : 1, 2, 4, 103, 206, 412
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
782 : 1, 2, 17, 23, 34, 46, 391, 782
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,412,752,782,850, is 2.
Now, the common factors can be found like this.
464:2x 2x 2x 2x 29
412:2x 2x 103
752:2x 2x 2x 2x 47
782:2x 17x 23
850:2x 5x 5x 17
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 2x 2x 17 = 2176
Therefore, the value for common factors is 2176.
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 = 95556165939200/(2x2176)
LCM = 95556165939200/4352
LCM = 21956839600
Thus, we can understand that the LCM of 464,412,752,782,850 is 21956839600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 464, 412, 752, 782, 850?
Answer: LCM of 464, 412, 752, 782, 850 is 21956839600.
2. How to calculate the LCM of 464, 412, 752, 782, 850?
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 464, 412, 752, 782, 850.
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}.