LCM of 169, 553, 858, 586, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 553, 858, 586, 468 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 169, 553, 858, 586, 468. So, keep reading to learn more.
Given numbers are 169,553,858,586,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,553,858,586,468 is 10843628796.
Find LCM of 169,553,858,586,468 with Prime Factorization
| 2 | 169, 553, 858, 586, 468 |
| 3 | 169, 553, 429, 293, 234 |
| 13 | 169, 553, 143, 293, 78 |
| 13, 553, 11, 293, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 13 x 553 x 11 x 293 x 6 = 10843628796
Therefore, the lowest common multiple of 169,553,858,586,468 is 10843628796.
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.
169 x 553 x 858 x 586 x 468 = 21990879198288
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.
169 : 1, 13, 169
553 : 1, 7, 79, 553
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
586 : 1, 2, 293, 586
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,553,858,586,468, is 1.
Now, the common factors can be found like this.
169:13x 13
553:7x 79
858:2x 3x 11x 13
586:2x 293
468:2x 2x 3x 3x 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 3x 13x 13 = 2028
Therefore, the value for common factors is 2028.
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 = 21990879198288/(1x2028)
LCM = 21990879198288/2028
LCM = 10843628796
Thus, we can understand that the LCM of 169,553,858,586,468 is 10843628796.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 169, 553, 858, 586, 468
1. What is the LCM of 169, 553, 858, 586, 468?
Answer: LCM of 169, 553, 858, 586, 468 is 10843628796.
2. How to calculate the LCM of 169, 553, 858, 586, 468?
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 169, 553, 858, 586, 468.
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}.