LCM of 129, 221, 884, 828, 328
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 129, 221, 884, 828, 328 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 129, 221, 884, 828, 328. So, keep reading to learn more.
Given numbers are 129,221,884,828,328
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 129,221,884,828,328 is 645215688.
Find LCM of 129,221,884,828,328 with Prime Factorization
| 2 | 129, 221, 884, 828, 328 |
| 2 | 129, 221, 442, 414, 164 |
| 3 | 129, 221, 221, 207, 82 |
| 13 | 43, 221, 221, 69, 82 |
| 17 | 43, 17, 17, 69, 82 |
| 43, 1, 1, 69, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 17 x 43 x 1 x 1 x 69 x 82 = 645215688
Therefore, the lowest common multiple of 129,221,884,828,328 is 645215688.
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.
129 x 221 x 884 x 828 x 328 = 6844448018304
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.
129 : 1, 3, 43, 129
221 : 1, 13, 17, 221
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
328 : 1, 2, 4, 8, 41, 82, 164, 328
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 129,221,884,828,328, is 1.
Now, the common factors can be found like this.
129:3x 43
221:13x 17
884:2x 2x 13x 17
828:2x 2x 3x 3x 23
328:2x 2x 2x 41
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 3x 13x 17 = 10608
Therefore, the value for common factors is 10608.
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 = 6844448018304/(1x10608)
LCM = 6844448018304/10608
LCM = 645215688
Thus, we can understand that the LCM of 129,221,884,828,328 is 645215688.
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FAQs on LCM of 129, 221, 884, 828, 328
1. What is the LCM of 129, 221, 884, 828, 328?
Answer: LCM of 129, 221, 884, 828, 328 is 645215688.
2. How to calculate the LCM of 129, 221, 884, 828, 328?
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 129, 221, 884, 828, 328.
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}.