LCM of 907, 432, 168, 422, 592
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 907, 432, 168, 422, 592 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 907, 432, 168, 422, 592. So, keep reading to learn more.
Given numbers are 907,432,168,422,592
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 907,432,168,422,592 is 21412789776.
Find LCM of 907,432,168,422,592 with Prime Factorization
| 2 | 907, 432, 168, 422, 592 |
| 2 | 907, 216, 84, 211, 296 |
| 2 | 907, 108, 42, 211, 148 |
| 2 | 907, 54, 21, 211, 74 |
| 3 | 907, 27, 21, 211, 37 |
| 907, 9, 7, 211, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 907 x 9 x 7 x 211 x 37 = 21412789776
Therefore, the lowest common multiple of 907,432,168,422,592 is 21412789776.
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.
907 x 432 x 168 x 422 x 592 = 16445022547968
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.
907 : 1, 907
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
422 : 1, 2, 211, 422
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,432,168,422,592, is 1.
Now, the common factors can be found like this.
907:907
432:2x 2x 2x 2x 3x 3x 3
168:2x 2x 2x 3x 7
422:2x 211
592:2x 2x 2x 2x 37
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 2x 2x 3 = 768
Therefore, the value for common factors is 768.
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 = 16445022547968/(1x768)
LCM = 16445022547968/768
LCM = 21412789776
Thus, we can understand that the LCM of 907,432,168,422,592 is 21412789776.
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FAQs on LCM of 907, 432, 168, 422, 592
1. What is the LCM of 907, 432, 168, 422, 592?
Answer: LCM of 907, 432, 168, 422, 592 is 21412789776.
2. How to calculate the LCM of 907, 432, 168, 422, 592?
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 907, 432, 168, 422, 592.
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}.