LCM of 440, 646, 828, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 440, 646, 828, 288 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, 646, 828, 288. So, keep reading to learn more.
Given numbers are 440,646,828,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 440,646,828,288 is 117675360.
Find LCM of 440,646,828,288 with Prime Factorization
| 2 | 440, 646, 828, 288 |
| 2 | 220, 323, 414, 144 |
| 2 | 110, 323, 207, 72 |
| 3 | 55, 323, 207, 36 |
| 3 | 55, 323, 69, 12 |
| 55, 323, 23, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 55 x 323 x 23 x 4 = 117675360
Therefore, the lowest common multiple of 440,646,828,288 is 117675360.
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 646 x 828 x 288 = 67781007360
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
646 : 1, 2, 17, 19, 34, 38, 323, 646
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,646,828,288, is 2.
Now, the common factors can be found like this.
440:2x 2x 2x 5x 11
646:2x 17x 19
828:2x 2x 3x 3x 23
288:2x 2x 2x 2x 2x 3x 3
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 3 = 288
Therefore, the value for common factors is 288.
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 = 67781007360/(2x288)
LCM = 67781007360/576
LCM = 117675360
Thus, we can understand that the LCM of 440,646,828,288 is 117675360.
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FAQs on LCM of 440, 646, 828, 288
1. What is the LCM of 440, 646, 828, 288?
Answer: LCM of 440, 646, 828, 288 is 117675360.
2. How to calculate the LCM of 440, 646, 828, 288?
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, 646, 828, 288.
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}.