LCM of 330, 259, 995, 638, 888
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 259, 995, 638, 888 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, 259, 995, 638, 888. So, keep reading to learn more.
Given numbers are 330,259,995,638,888
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,259,995,638,888 is 1972989480.
Find LCM of 330,259,995,638,888 with Prime Factorization
| 2 | 330, 259, 995, 638, 888 |
| 3 | 165, 259, 995, 319, 444 |
| 5 | 55, 259, 995, 319, 148 |
| 11 | 11, 259, 199, 319, 148 |
| 37 | 1, 259, 199, 29, 148 |
| 1, 7, 199, 29, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 37 x 1 x 7 x 199 x 29 x 4 = 1972989480
Therefore, the lowest common multiple of 330,259,995,638,888 is 1972989480.
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 259 x 995 x 638 x 888 = 48180403101600
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
259 : 1, 7, 37, 259
995 : 1, 5, 199, 995
638 : 1, 2, 11, 22, 29, 58, 319, 638
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,259,995,638,888, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
259:7x 37
995:5x 199
638:2x 11x 29
888:2x 2x 2x 3x 37
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 11x 37 = 24420
Therefore, the value for common factors is 24420.
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 = 48180403101600/(1x24420)
LCM = 48180403101600/24420
LCM = 1972989480
Thus, we can understand that the LCM of 330,259,995,638,888 is 1972989480.
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FAQs on LCM of 330, 259, 995, 638, 888
1. What is the LCM of 330, 259, 995, 638, 888?
Answer: LCM of 330, 259, 995, 638, 888 is 1972989480.
2. How to calculate the LCM of 330, 259, 995, 638, 888?
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, 259, 995, 638, 888.
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}.