LCM of 221, 692, 328, 272, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 692, 328, 272, 990 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 221, 692, 328, 272, 990. So, keep reading to learn more.
Given numbers are 221,692,328,272,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,692,328,272,990 is 12415019760.
Find LCM of 221,692,328,272,990 with Prime Factorization
| 2 | 221, 692, 328, 272, 990 |
| 2 | 221, 346, 164, 136, 495 |
| 2 | 221, 173, 82, 68, 495 |
| 17 | 221, 173, 41, 34, 495 |
| 13, 173, 41, 2, 495 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 13 x 173 x 41 x 2 x 495 = 12415019760
Therefore, the lowest common multiple of 221,692,328,272,990 is 12415019760.
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.
221 x 692 x 328 x 272 x 990 = 13507541498880
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.
221 : 1, 13, 17, 221
692 : 1, 2, 4, 173, 346, 692
328 : 1, 2, 4, 8, 41, 82, 164, 328
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,692,328,272,990, is 1.
Now, the common factors can be found like this.
221:13x 17
692:2x 2x 173
328:2x 2x 2x 41
272:2x 2x 2x 2x 17
990:2x 3x 3x 5x 11
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 2x 2x 17 = 1088
Therefore, the value for common factors is 1088.
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 = 13507541498880/(1x1088)
LCM = 13507541498880/1088
LCM = 12415019760
Thus, we can understand that the LCM of 221,692,328,272,990 is 12415019760.
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FAQs on LCM of 221, 692, 328, 272, 990
1. What is the LCM of 221, 692, 328, 272, 990?
Answer: LCM of 221, 692, 328, 272, 990 is 12415019760.
2. How to calculate the LCM of 221, 692, 328, 272, 990?
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 221, 692, 328, 272, 990.
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}.