LCM of 906, 924, 192, 288, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 924, 192, 288, 901 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 906, 924, 192, 288, 901. So, keep reading to learn more.
Given numbers are 906,924,192,288,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,924,192,288,901 is 6034133952.
Find LCM of 906,924,192,288,901 with Prime Factorization
| 2 | 906, 924, 192, 288, 901 |
| 2 | 453, 462, 96, 144, 901 |
| 2 | 453, 231, 48, 72, 901 |
| 2 | 453, 231, 24, 36, 901 |
| 2 | 453, 231, 12, 18, 901 |
| 3 | 453, 231, 6, 9, 901 |
| 151, 77, 2, 3, 901 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 151 x 77 x 2 x 3 x 901 = 6034133952
Therefore, the lowest common multiple of 906,924,192,288,901 is 6034133952.
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.
906 x 924 x 192 x 288 x 901 = 41707933876224
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,924,192,288,901, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
924:2x 2x 3x 7x 11
192:2x 2x 2x 2x 2x 2x 3
288:2x 2x 2x 2x 2x 3x 3
901:17x 53
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 3x 3x 3 = 6912
Therefore, the value for common factors is 6912.
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 = 41707933876224/(1x6912)
LCM = 41707933876224/6912
LCM = 6034133952
Thus, we can understand that the LCM of 906,924,192,288,901 is 6034133952.
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FAQs on LCM of 906, 924, 192, 288, 901
1. What is the LCM of 906, 924, 192, 288, 901?
Answer: LCM of 906, 924, 192, 288, 901 is 6034133952.
2. How to calculate the LCM of 906, 924, 192, 288, 901?
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 906, 924, 192, 288, 901.
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}.