LCM of 923, 408, 714, 416, 854
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 408, 714, 416, 854 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 923, 408, 714, 416, 854. So, keep reading to learn more.
Given numbers are 923,408,714,416,854
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,408,714,416,854 is 643205472.
Find LCM of 923,408,714,416,854 with Prime Factorization
| 2 | 923, 408, 714, 416, 854 |
| 2 | 923, 204, 357, 208, 427 |
| 2 | 923, 102, 357, 104, 427 |
| 3 | 923, 51, 357, 52, 427 |
| 7 | 923, 17, 119, 52, 427 |
| 13 | 923, 17, 17, 52, 61 |
| 17 | 71, 17, 17, 4, 61 |
| 71, 1, 1, 4, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 13 x 17 x 71 x 1 x 1 x 4 x 61 = 643205472
Therefore, the lowest common multiple of 923,408,714,416,854 is 643205472.
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.
923 x 408 x 714 x 416 x 854 = 95523731057664
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.
923 : 1, 13, 71, 923
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
854 : 1, 2, 7, 14, 61, 122, 427, 854
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,408,714,416,854, is 1.
Now, the common factors can be found like this.
923:13x 71
408:2x 2x 2x 3x 17
714:2x 3x 7x 17
416:2x 2x 2x 2x 2x 13
854:2x 7x 61
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 2x 2x 3x 7x 13x 17 = 148512
Therefore, the value for common factors is 148512.
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 = 95523731057664/(1x148512)
LCM = 95523731057664/148512
LCM = 643205472
Thus, we can understand that the LCM of 923,408,714,416,854 is 643205472.
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FAQs on LCM of 923, 408, 714, 416, 854
1. What is the LCM of 923, 408, 714, 416, 854?
Answer: LCM of 923, 408, 714, 416, 854 is 643205472.
2. How to calculate the LCM of 923, 408, 714, 416, 854?
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 923, 408, 714, 416, 854.
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}.