LCM of 459, 869, 858, 913, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 869, 858, 913, 756 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 459, 869, 858, 913, 756. So, keep reading to learn more.
Given numbers are 459,869,858,913,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,869,858,913,756 is 12050690652.
Find LCM of 459,869,858,913,756 with Prime Factorization
| 2 | 459, 869, 858, 913, 756 |
| 3 | 459, 869, 429, 913, 378 |
| 3 | 153, 869, 143, 913, 126 |
| 3 | 51, 869, 143, 913, 42 |
| 11 | 17, 869, 143, 913, 14 |
| 17, 79, 13, 83, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 11 x 17 x 79 x 13 x 83 x 14 = 12050690652
Therefore, the lowest common multiple of 459,869,858,913,756 is 12050690652.
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.
459 x 869 x 858 x 913 x 756 = 236217638160504
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
869 : 1, 11, 79, 869
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
913 : 1, 11, 83, 913
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,869,858,913,756, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
869:11x 79
858:2x 3x 11x 13
913:11x 83
756:2x 2x 3x 3x 3x 7
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 3x 3x 3x 11x 11 = 19602
Therefore, the value for common factors is 19602.
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 = 236217638160504/(1x19602)
LCM = 236217638160504/19602
LCM = 12050690652
Thus, we can understand that the LCM of 459,869,858,913,756 is 12050690652.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 459, 869, 858, 913, 756
1. What is the LCM of 459, 869, 858, 913, 756?
Answer: LCM of 459, 869, 858, 913, 756 is 12050690652.
2. How to calculate the LCM of 459, 869, 858, 913, 756?
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 459, 869, 858, 913, 756.
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}.