LCM of 906, 144, 314, 840, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 144, 314, 840, 897 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, 144, 314, 840, 897. So, keep reading to learn more.
Given numbers are 906,144,314,840,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,144,314,840,897 is 35725500720.
Find LCM of 906,144,314,840,897 with Prime Factorization
| 2 | 906, 144, 314, 840, 897 |
| 2 | 453, 72, 157, 420, 897 |
| 2 | 453, 36, 157, 210, 897 |
| 3 | 453, 18, 157, 105, 897 |
| 151, 6, 157, 35, 299 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 151 x 6 x 157 x 35 x 299 = 35725500720
Therefore, the lowest common multiple of 906,144,314,840,897 is 35725500720.
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 144 x 314 x 840 x 897 = 30866832622080
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
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
314 : 1, 2, 157, 314
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,144,314,840,897, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
144:2x 2x 2x 2x 3x 3
314:2x 157
840:2x 2x 2x 3x 5x 7
897:3x 13x 23
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 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 30866832622080/(1x864)
LCM = 30866832622080/864
LCM = 35725500720
Thus, we can understand that the LCM of 906,144,314,840,897 is 35725500720.
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FAQs on LCM of 906, 144, 314, 840, 897
1. What is the LCM of 906, 144, 314, 840, 897?
Answer: LCM of 906, 144, 314, 840, 897 is 35725500720.
2. How to calculate the LCM of 906, 144, 314, 840, 897?
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, 144, 314, 840, 897.
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}.