LCM of 290, 493, 416, 921, 455
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 290, 493, 416, 921, 455 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 290, 493, 416, 921, 455. So, keep reading to learn more.
Given numbers are 290,493,416,921,455
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 290,493,416,921,455 is 6611011680.
Find LCM of 290,493,416,921,455 with Prime Factorization
| 2 | 290, 493, 416, 921, 455 |
| 5 | 145, 493, 208, 921, 455 |
| 13 | 29, 493, 208, 921, 91 |
| 29 | 29, 493, 16, 921, 7 |
| 1, 17, 16, 921, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 29 x 1 x 17 x 16 x 921 x 7 = 6611011680
Therefore, the lowest common multiple of 290,493,416,921,455 is 6611011680.
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.
290 x 493 x 416 x 921 x 455 = 24923514033600
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.
290 : 1, 2, 5, 10, 29, 58, 145, 290
493 : 1, 17, 29, 493
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
921 : 1, 3, 307, 921
455 : 1, 5, 7, 13, 35, 65, 91, 455
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,493,416,921,455, is 1.
Now, the common factors can be found like this.
290:2x 5x 29
493:17x 29
416:2x 2x 2x 2x 2x 13
921:3x 307
455:5x 7x 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 5x 13x 29 = 3770
Therefore, the value for common factors is 3770.
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 = 24923514033600/(1x3770)
LCM = 24923514033600/3770
LCM = 6611011680
Thus, we can understand that the LCM of 290,493,416,921,455 is 6611011680.
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FAQs on LCM of 290, 493, 416, 921, 455
1. What is the LCM of 290, 493, 416, 921, 455?
Answer: LCM of 290, 493, 416, 921, 455 is 6611011680.
2. How to calculate the LCM of 290, 493, 416, 921, 455?
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 290, 493, 416, 921, 455.
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}.