LCM of 446, 854, 299, 690, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 446, 854, 299, 690, 416 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 446, 854, 299, 690, 416. So, keep reading to learn more.
Given numbers are 446,854,299,690,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 446,854,299,690,416 is 13666117920.
Find LCM of 446,854,299,690,416 with Prime Factorization
| 2 | 446, 854, 299, 690, 416 |
| 13 | 223, 427, 299, 345, 208 |
| 23 | 223, 427, 23, 345, 16 |
| 223, 427, 1, 15, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 223 x 427 x 1 x 15 x 16 = 13666117920
Therefore, the lowest common multiple of 446,854,299,690,416 is 13666117920.
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.
446 x 854 x 299 x 690 x 416 = 32689354064640
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.
446 : 1, 2, 223, 446
854 : 1, 2, 7, 14, 61, 122, 427, 854
299 : 1, 13, 23, 299
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,854,299,690,416, is 1.
Now, the common factors can be found like this.
446:2x 223
854:2x 7x 61
299:13x 23
690:2x 3x 5x 23
416:2x 2x 2x 2x 2x 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 2x 13x 23 = 2392
Therefore, the value for common factors is 2392.
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 = 32689354064640/(1x2392)
LCM = 32689354064640/2392
LCM = 13666117920
Thus, we can understand that the LCM of 446,854,299,690,416 is 13666117920.
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FAQs on LCM of 446, 854, 299, 690, 416
1. What is the LCM of 446, 854, 299, 690, 416?
Answer: LCM of 446, 854, 299, 690, 416 is 13666117920.
2. How to calculate the LCM of 446, 854, 299, 690, 416?
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 446, 854, 299, 690, 416.
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}.