LCM of 894, 351, 648, 416, 399
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 351, 648, 416, 399 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 894, 351, 648, 416, 399. So, keep reading to learn more.
Given numbers are 894,351,648,416,399
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,351,648,416,399 is 667753632.
Find LCM of 894,351,648,416,399 with Prime Factorization
| 2 | 894, 351, 648, 416, 399 |
| 2 | 447, 351, 324, 208, 399 |
| 2 | 447, 351, 162, 104, 399 |
| 3 | 447, 351, 81, 52, 399 |
| 3 | 149, 117, 27, 52, 133 |
| 3 | 149, 39, 9, 52, 133 |
| 13 | 149, 13, 3, 52, 133 |
| 149, 1, 3, 4, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 13 x 149 x 1 x 3 x 4 x 133 = 667753632
Therefore, the lowest common multiple of 894,351,648,416,399 is 667753632.
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.
894 x 351 x 648 x 416 x 399 = 33750939575808
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
351 : 1, 3, 9, 13, 27, 39, 117, 351
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
399 : 1, 3, 7, 19, 21, 57, 133, 399
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,351,648,416,399, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
351:3x 3x 3x 13
648:2x 2x 2x 3x 3x 3x 3
416:2x 2x 2x 2x 2x 13
399:3x 7x 19
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 3x 3x 3x 3x 3x 13 = 50544
Therefore, the value for common factors is 50544.
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 = 33750939575808/(1x50544)
LCM = 33750939575808/50544
LCM = 667753632
Thus, we can understand that the LCM of 894,351,648,416,399 is 667753632.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 894, 351, 648, 416, 399
1. What is the LCM of 894, 351, 648, 416, 399?
Answer: LCM of 894, 351, 648, 416, 399 is 667753632.
2. How to calculate the LCM of 894, 351, 648, 416, 399?
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 894, 351, 648, 416, 399.
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}.