LCM of 330, 335, 832, 286, 910
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 335, 832, 286, 910 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, 335, 832, 286, 910. So, keep reading to learn more.
Given numbers are 330,335,832,286,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,335,832,286,910 is 64384320.
Find LCM of 330,335,832,286,910 with Prime Factorization
| 2 | 330, 335, 832, 286, 910 |
| 5 | 165, 335, 416, 143, 455 |
| 11 | 33, 67, 416, 143, 91 |
| 13 | 3, 67, 416, 13, 91 |
| 3, 67, 32, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 13 x 3 x 67 x 32 x 1 x 7 = 64384320
Therefore, the lowest common multiple of 330,335,832,286,910 is 64384320.
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 335 x 832 x 286 x 910 = 23938090176000
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
335 : 1, 5, 67, 335
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
286 : 1, 2, 11, 13, 22, 26, 143, 286
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,335,832,286,910, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
335:5x 67
832:2x 2x 2x 2x 2x 2x 13
286:2x 11x 13
910:2x 5x 7x 13
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 5x 5x 11x 13x 13 = 371800
Therefore, the value for common factors is 371800.
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 = 23938090176000/(1x371800)
LCM = 23938090176000/371800
LCM = 64384320
Thus, we can understand that the LCM of 330,335,832,286,910 is 64384320.
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FAQs on LCM of 330, 335, 832, 286, 910
1. What is the LCM of 330, 335, 832, 286, 910?
Answer: LCM of 330, 335, 832, 286, 910 is 64384320.
2. How to calculate the LCM of 330, 335, 832, 286, 910?
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, 335, 832, 286, 910.
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}.