LCM of 964, 779, 684, 906, 459
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 779, 684, 906, 459 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 964, 779, 684, 906, 459. So, keep reading to learn more.
Given numbers are 964,779,684,906,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,779,684,906,459 is 52048009404.
Find LCM of 964,779,684,906,459 with Prime Factorization
| 2 | 964, 779, 684, 906, 459 |
| 2 | 482, 779, 342, 453, 459 |
| 3 | 241, 779, 171, 453, 459 |
| 3 | 241, 779, 57, 151, 153 |
| 19 | 241, 779, 19, 151, 51 |
| 241, 41, 1, 151, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 241 x 41 x 1 x 151 x 51 = 52048009404
Therefore, the lowest common multiple of 964,779,684,906,459 is 52048009404.
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.
964 x 779 x 684 x 906 x 459 = 213605030594016
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.
964 : 1, 2, 4, 241, 482, 964
779 : 1, 19, 41, 779
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
906 : 1, 2, 3, 6, 151, 302, 453, 906
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,779,684,906,459, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
779:19x 41
684:2x 2x 3x 3x 19
906:2x 3x 151
459:3x 3x 3x 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 3x 3x 3x 19 = 4104
Therefore, the value for common factors is 4104.
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 = 213605030594016/(1x4104)
LCM = 213605030594016/4104
LCM = 52048009404
Thus, we can understand that the LCM of 964,779,684,906,459 is 52048009404.
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FAQs on LCM of 964, 779, 684, 906, 459
1. What is the LCM of 964, 779, 684, 906, 459?
Answer: LCM of 964, 779, 684, 906, 459 is 52048009404.
2. How to calculate the LCM of 964, 779, 684, 906, 459?
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 964, 779, 684, 906, 459.
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}.