LCM of 440, 486, 330, 963, 985
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 440, 486, 330, 963, 985 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 440, 486, 330, 963, 985. So, keep reading to learn more.
Given numbers are 440,486,330,963,985
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 440,486,330,963,985 is 2253766680.
Find LCM of 440,486,330,963,985 with Prime Factorization
| 2 | 440, 486, 330, 963, 985 |
| 3 | 220, 243, 165, 963, 985 |
| 3 | 220, 81, 55, 321, 985 |
| 5 | 220, 27, 55, 107, 985 |
| 11 | 44, 27, 11, 107, 197 |
| 4, 27, 1, 107, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 4 x 27 x 1 x 107 x 197 = 2253766680
Therefore, the lowest common multiple of 440,486,330,963,985 is 2253766680.
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.
440 x 486 x 330 x 963 x 985 = 66936870396000
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.
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
963 : 1, 3, 9, 107, 321, 963
985 : 1, 5, 197, 985
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,486,330,963,985, is 1.
Now, the common factors can be found like this.
440:2x 2x 2x 5x 11
486:2x 3x 3x 3x 3x 3
330:2x 3x 5x 11
963:3x 3x 107
985:5x 197
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 5x 5x 11 = 29700
Therefore, the value for common factors is 29700.
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 = 66936870396000/(1x29700)
LCM = 66936870396000/29700
LCM = 2253766680
Thus, we can understand that the LCM of 440,486,330,963,985 is 2253766680.
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FAQs on LCM of 440, 486, 330, 963, 985
1. What is the LCM of 440, 486, 330, 963, 985?
Answer: LCM of 440, 486, 330, 963, 985 is 2253766680.
2. How to calculate the LCM of 440, 486, 330, 963, 985?
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 440, 486, 330, 963, 985.
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}.