LCM of 782, 312, 462, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 312, 462, 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 782, 312, 462, 920. So, keep reading to learn more.
Given numbers are 782,312,462,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,312,462,920 is 46966920.
Find LCM of 782,312,462,920 with Prime Factorization
| 2 | 782, 312, 462, 920 |
| 2 | 391, 156, 231, 460 |
| 2 | 391, 78, 231, 230 |
| 3 | 391, 39, 231, 115 |
| 23 | 391, 13, 77, 115 |
| 17, 13, 77, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 17 x 13 x 77 x 5 = 46966920
Therefore, the lowest common multiple of 782,312,462,920 is 46966920.
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.
782 x 312 x 462 x 920 = 103702959360
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,312,462,920, is 2.
Now, the common factors can be found like this.
782:2x 17x 23
312:2x 2x 2x 3x 13
462:2x 3x 7x 11
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.
2x 2x 2x 2x 3x 23 = 1104
Therefore, the value for common factors is 1104.
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 = 103702959360/(2x1104)
LCM = 103702959360/2208
LCM = 46966920
Thus, we can understand that the LCM of 782,312,462,920 is 46966920.
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FAQs on LCM of 782, 312, 462, 920
1. What is the LCM of 782, 312, 462, 920?
Answer: LCM of 782, 312, 462, 920 is 46966920.
2. How to calculate the LCM of 782, 312, 462, 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 782, 312, 462, 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}.