LCM of 330, 369, 374, 891, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 369, 374, 891, 896 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 330, 369, 374, 891, 896. So, keep reading to learn more.
Given numbers are 330,369,374,891,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,369,374,891,896 is 2782200960.
Find LCM of 330,369,374,891,896 with Prime Factorization
| 2 | 330, 369, 374, 891, 896 |
| 3 | 165, 369, 187, 891, 448 |
| 3 | 55, 123, 187, 297, 448 |
| 11 | 55, 41, 187, 99, 448 |
| 5, 41, 17, 9, 448 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 5 x 41 x 17 x 9 x 448 = 2782200960
Therefore, the lowest common multiple of 330,369,374,891,896 is 2782200960.
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.
330 x 369 x 374 x 891 x 896 = 36357802145280
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.
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
369 : 1, 3, 9, 41, 123, 369
374 : 1, 2, 11, 17, 22, 34, 187, 374
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,369,374,891,896, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
369:3x 3x 41
374:2x 11x 17
891:3x 3x 3x 3x 11
896:2x 2x 2x 2x 2x 2x 2x 7
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 3x 11x 11 = 13068
Therefore, the value for common factors is 13068.
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 = 36357802145280/(1x13068)
LCM = 36357802145280/13068
LCM = 2782200960
Thus, we can understand that the LCM of 330,369,374,891,896 is 2782200960.
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FAQs on LCM of 330, 369, 374, 891, 896
1. What is the LCM of 330, 369, 374, 891, 896?
Answer: LCM of 330, 369, 374, 891, 896 is 2782200960.
2. How to calculate the LCM of 330, 369, 374, 891, 896?
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 330, 369, 374, 891, 896.
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}.