LCM of 442, 336, 522, 464, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 336, 522, 464, 909 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, 336, 522, 464, 909. So, keep reading to learn more.
Given numbers are 442,336,522,464,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,336,522,464,909 is 652487472.
Find LCM of 442,336,522,464,909 with Prime Factorization
| 2 | 442, 336, 522, 464, 909 |
| 2 | 221, 168, 261, 232, 909 |
| 2 | 221, 84, 261, 116, 909 |
| 2 | 221, 42, 261, 58, 909 |
| 3 | 221, 21, 261, 29, 909 |
| 3 | 221, 7, 87, 29, 303 |
| 29 | 221, 7, 29, 29, 101 |
| 221, 7, 1, 1, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 29 x 221 x 7 x 1 x 1 x 101 = 652487472
Therefore, the lowest common multiple of 442,336,522,464,909 is 652487472.
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 336 x 522 x 464 x 909 = 32697452196864
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
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,336,522,464,909, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
336:2x 2x 2x 2x 3x 7
522:2x 3x 3x 29
464:2x 2x 2x 2x 29
909:3x 3x 101
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 2x 3x 3x 3x 29 = 50112
Therefore, the value for common factors is 50112.
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 = 32697452196864/(1x50112)
LCM = 32697452196864/50112
LCM = 652487472
Thus, we can understand that the LCM of 442,336,522,464,909 is 652487472.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 442, 336, 522, 464, 909
1. What is the LCM of 442, 336, 522, 464, 909?
Answer: LCM of 442, 336, 522, 464, 909 is 652487472.
2. How to calculate the LCM of 442, 336, 522, 464, 909?
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, 336, 522, 464, 909.
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}.