LCM of 330, 130, 260, 403, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 130, 260, 403, 105 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, 130, 260, 403, 105. So, keep reading to learn more.
Given numbers are 330,130,260,403,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,130,260,403,105 is 1861860.
Find LCM of 330,130,260,403,105 with Prime Factorization
| 2 | 330, 130, 260, 403, 105 |
| 3 | 165, 65, 130, 403, 105 |
| 5 | 55, 65, 130, 403, 35 |
| 13 | 11, 13, 26, 403, 7 |
| 11, 1, 2, 31, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 11 x 1 x 2 x 31 x 7 = 1861860
Therefore, the lowest common multiple of 330,130,260,403,105 is 1861860.
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 130 x 260 x 403 x 105 = 471981510000
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
130 : 1, 2, 5, 10, 13, 26, 65, 130
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
403 : 1, 13, 31, 403
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,130,260,403,105, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
130:2x 5x 13
260:2x 2x 5x 13
403:13x 31
105:3x 5x 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 5x 5x 5x 13x 13 = 253500
Therefore, the value for common factors is 253500.
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 = 471981510000/(1x253500)
LCM = 471981510000/253500
LCM = 1861860
Thus, we can understand that the LCM of 330,130,260,403,105 is 1861860.
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FAQs on LCM of 330, 130, 260, 403, 105
1. What is the LCM of 330, 130, 260, 403, 105?
Answer: LCM of 330, 130, 260, 403, 105 is 1861860.
2. How to calculate the LCM of 330, 130, 260, 403, 105?
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, 130, 260, 403, 105.
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}.