LCM of 440, 654, 322, 852, 717
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 440, 654, 322, 852, 717 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, 654, 322, 852, 717. So, keep reading to learn more.
Given numbers are 440,654,322,852,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 440,654,322,852,717 is 393081454920.
Find LCM of 440,654,322,852,717 with Prime Factorization
| 2 | 440, 654, 322, 852, 717 |
| 2 | 220, 327, 161, 426, 717 |
| 3 | 110, 327, 161, 213, 717 |
| 110, 109, 161, 71, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 110 x 109 x 161 x 71 x 239 = 393081454920
Therefore, the lowest common multiple of 440,654,322,852,717 is 393081454920.
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 654 x 322 x 852 x 717 = 56603729508480
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
654 : 1, 2, 3, 6, 109, 218, 327, 654
322 : 1, 2, 7, 14, 23, 46, 161, 322
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,654,322,852,717, is 1.
Now, the common factors can be found like this.
440:2x 2x 2x 5x 11
654:2x 3x 109
322:2x 7x 23
852:2x 2x 3x 71
717:3x 239
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 3 = 144
Therefore, the value for common factors is 144.
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 = 56603729508480/(1x144)
LCM = 56603729508480/144
LCM = 393081454920
Thus, we can understand that the LCM of 440,654,322,852,717 is 393081454920.
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FAQs on LCM of 440, 654, 322, 852, 717
1. What is the LCM of 440, 654, 322, 852, 717?
Answer: LCM of 440, 654, 322, 852, 717 is 393081454920.
2. How to calculate the LCM of 440, 654, 322, 852, 717?
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, 654, 322, 852, 717.
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}.