LCM of 442, 909, 484, 963, 822
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 909, 484, 963, 822 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 442, 909, 484, 963, 822. So, keep reading to learn more.
Given numbers are 442,909,484,963,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,909,484,963,822 is 1425298615884.
Find LCM of 442,909,484,963,822 with Prime Factorization
| 2 | 442, 909, 484, 963, 822 |
| 3 | 221, 909, 242, 963, 411 |
| 3 | 221, 303, 242, 321, 137 |
| 221, 101, 242, 107, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 221 x 101 x 242 x 107 x 137 = 1425298615884
Therefore, the lowest common multiple of 442,909,484,963,822 is 1425298615884.
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.
442 x 909 x 484 x 963 x 822 = 153932250515472
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
909 : 1, 3, 9, 101, 303, 909
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
963 : 1, 3, 9, 107, 321, 963
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,909,484,963,822, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
909:3x 3x 101
484:2x 2x 11x 11
963:3x 3x 107
822:2x 3x 137
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 3 = 108
Therefore, the value for common factors is 108.
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 = 153932250515472/(1x108)
LCM = 153932250515472/108
LCM = 1425298615884
Thus, we can understand that the LCM of 442,909,484,963,822 is 1425298615884.
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FAQs on LCM of 442, 909, 484, 963, 822
1. What is the LCM of 442, 909, 484, 963, 822?
Answer: LCM of 442, 909, 484, 963, 822 is 1425298615884.
2. How to calculate the LCM of 442, 909, 484, 963, 822?
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 442, 909, 484, 963, 822.
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}.