LCM of 681, 217, 651, 888, 382
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 681, 217, 651, 888, 382 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 681, 217, 651, 888, 382. So, keep reading to learn more.
Given numbers are 681,217,651,888,382
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,217,651,888,382 is 8354720472.
Find LCM of 681,217,651,888,382 with Prime Factorization
| 2 | 681, 217, 651, 888, 382 |
| 3 | 681, 217, 651, 444, 191 |
| 7 | 227, 217, 217, 148, 191 |
| 31 | 227, 31, 31, 148, 191 |
| 227, 1, 1, 148, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 31 x 227 x 1 x 1 x 148 x 191 = 8354720472
Therefore, the lowest common multiple of 681,217,651,888,382 is 8354720472.
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.
681 x 217 x 651 x 888 x 382 = 32633538163632
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.
681 : 1, 3, 227, 681
217 : 1, 7, 31, 217
651 : 1, 3, 7, 21, 31, 93, 217, 651
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
382 : 1, 2, 191, 382
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,217,651,888,382, is 1.
Now, the common factors can be found like this.
681:3x 227
217:7x 31
651:3x 7x 31
888:2x 2x 2x 3x 37
382:2x 191
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 31 = 3906
Therefore, the value for common factors is 3906.
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 = 32633538163632/(1x3906)
LCM = 32633538163632/3906
LCM = 8354720472
Thus, we can understand that the LCM of 681,217,651,888,382 is 8354720472.
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FAQs on LCM of 681, 217, 651, 888, 382
1. What is the LCM of 681, 217, 651, 888, 382?
Answer: LCM of 681, 217, 651, 888, 382 is 8354720472.
2. How to calculate the LCM of 681, 217, 651, 888, 382?
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 681, 217, 651, 888, 382.
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}.