Find the LCM of 914, 684, 689, 462, 104 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 914, 684, 689, 462, 104. So, keep reading to learn more.
Given numbers are 914,684,689,462,104
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,684,689,462,104 is 33167462328.
Find LCM of 914,684,689,462,104 with Prime Factorization
2 | 914, 684, 689, 462, 104 |
2 | 457, 342, 689, 231, 52 |
3 | 457, 171, 689, 231, 26 |
13 | 457, 57, 689, 77, 26 |
457, 57, 53, 77, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 457 x 57 x 53 x 77 x 2 = 33167462328
Therefore, the lowest common multiple of 914,684,689,462,104 is 33167462328.
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.
914 x 684 x 689 x 462 x 104 = 20696496492672
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.
914 : 1, 2, 457, 914
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
689 : 1, 13, 53, 689
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
104 : 1, 2, 4, 8, 13, 26, 52, 104
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,684,689,462,104, is 1.
Now, the common factors can be found like this.
914:2x 457
684:2x 2x 3x 3x 19
689:13x 53
462:2x 3x 7x 11
104:2x 2x 2x 13
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 13 = 624
Therefore, the value for common factors is 624.
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 = 20696496492672/(1x624)
LCM = 20696496492672/624
LCM = 33167462328
Thus, we can understand that the LCM of 914,684,689,462,104 is 33167462328.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 914, 684, 689, 462, 104?
Answer: LCM of 914, 684, 689, 462, 104 is 33167462328.
2. How to calculate the LCM of 914, 684, 689, 462, 104?
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 914, 684, 689, 462, 104.
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}.