LCM of 846, 477, 214, 330, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 846, 477, 214, 330, 405 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 846, 477, 214, 330, 405. So, keep reading to learn more.
Given numbers are 846,477,214,330,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 846,477,214,330,405 is 2374844670.
Find LCM of 846,477,214,330,405 with Prime Factorization
| 2 | 846, 477, 214, 330, 405 |
| 3 | 423, 477, 107, 165, 405 |
| 3 | 141, 159, 107, 55, 135 |
| 5 | 47, 53, 107, 55, 45 |
| 47, 53, 107, 11, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 47 x 53 x 107 x 11 x 9 = 2374844670
Therefore, the lowest common multiple of 846,477,214,330,405 is 2374844670.
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.
846 x 477 x 214 x 330 x 405 = 11541745096200
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.
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
477 : 1, 3, 9, 53, 159, 477
214 : 1, 2, 107, 214
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 846,477,214,330,405, is 1.
Now, the common factors can be found like this.
846:2x 3x 3x 47
477:3x 3x 53
214:2x 107
330:2x 3x 5x 11
405:3x 3x 3x 3x 5
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 3x 3x 3x 3x 5 = 4860
Therefore, the value for common factors is 4860.
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 = 11541745096200/(1x4860)
LCM = 11541745096200/4860
LCM = 2374844670
Thus, we can understand that the LCM of 846,477,214,330,405 is 2374844670.
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FAQs on LCM of 846, 477, 214, 330, 405
1. What is the LCM of 846, 477, 214, 330, 405?
Answer: LCM of 846, 477, 214, 330, 405 is 2374844670.
2. How to calculate the LCM of 846, 477, 214, 330, 405?
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 846, 477, 214, 330, 405.
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}.