LCM of 341, 576, 462, 689, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 341, 576, 462, 689, 961 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 341, 576, 462, 689, 961. So, keep reading to learn more.
Given numbers are 341,576,462,689,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,576,462,689,961 is 29366745408.
Find LCM of 341,576,462,689,961 with Prime Factorization
| 2 | 341, 576, 462, 689, 961 |
| 3 | 341, 288, 231, 689, 961 |
| 11 | 341, 96, 77, 689, 961 |
| 31 | 31, 96, 7, 689, 961 |
| 1, 96, 7, 689, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 31 x 1 x 96 x 7 x 689 x 31 = 29366745408
Therefore, the lowest common multiple of 341,576,462,689,961 is 29366745408.
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.
341 x 576 x 462 x 689 x 961 = 60084361104768
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.
341 : 1, 11, 31, 341
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
689 : 1, 13, 53, 689
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,576,462,689,961, is 1.
Now, the common factors can be found like this.
341:11x 31
576:2x 2x 2x 2x 2x 2x 3x 3
462:2x 3x 7x 11
689:13x 53
961:31x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 31 = 2046
Therefore, the value for common factors is 2046.
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 = 60084361104768/(1x2046)
LCM = 60084361104768/2046
LCM = 29366745408
Thus, we can understand that the LCM of 341,576,462,689,961 is 29366745408.
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FAQs on LCM of 341, 576, 462, 689, 961
1. What is the LCM of 341, 576, 462, 689, 961?
Answer: LCM of 341, 576, 462, 689, 961 is 29366745408.
2. How to calculate the LCM of 341, 576, 462, 689, 961?
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 341, 576, 462, 689, 961.
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}.