LCM of 368, 221, 682, 561, 632
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 221, 682, 561, 632 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 368, 221, 682, 561, 632. So, keep reading to learn more.
Given numbers are 368,221,682,561,632
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,221,682,561,632 is 6572684976.
Find LCM of 368,221,682,561,632 with Prime Factorization
| 2 | 368, 221, 682, 561, 632 |
| 2 | 184, 221, 341, 561, 316 |
| 2 | 92, 221, 341, 561, 158 |
| 11 | 46, 221, 341, 561, 79 |
| 17 | 46, 221, 31, 51, 79 |
| 46, 13, 31, 3, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 17 x 46 x 13 x 31 x 3 x 79 = 6572684976
Therefore, the lowest common multiple of 368,221,682,561,632 is 6572684976.
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.
368 x 221 x 682 x 561 x 632 = 19665473448192
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
221 : 1, 13, 17, 221
682 : 1, 2, 11, 22, 31, 62, 341, 682
561 : 1, 3, 11, 17, 33, 51, 187, 561
632 : 1, 2, 4, 8, 79, 158, 316, 632
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,221,682,561,632, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
221:13x 17
682:2x 11x 31
561:3x 11x 17
632:2x 2x 2x 79
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 11x 17 = 2992
Therefore, the value for common factors is 2992.
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 = 19665473448192/(1x2992)
LCM = 19665473448192/2992
LCM = 6572684976
Thus, we can understand that the LCM of 368,221,682,561,632 is 6572684976.
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FAQs on LCM of 368, 221, 682, 561, 632
1. What is the LCM of 368, 221, 682, 561, 632?
Answer: LCM of 368, 221, 682, 561, 632 is 6572684976.
2. How to calculate the LCM of 368, 221, 682, 561, 632?
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 368, 221, 682, 561, 632.
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}.