LCM of 681, 182, 308, 221, 884
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 681, 182, 308, 221, 884 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, 182, 308, 221, 884. So, keep reading to learn more.
Given numbers are 681,182,308,221,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,182,308,221,884 is 46354308.
Find LCM of 681,182,308,221,884 with Prime Factorization
| 2 | 681, 182, 308, 221, 884 |
| 2 | 681, 91, 154, 221, 442 |
| 7 | 681, 91, 77, 221, 221 |
| 13 | 681, 13, 11, 221, 221 |
| 17 | 681, 1, 11, 17, 17 |
| 681, 1, 11, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 17 x 681 x 1 x 11 x 1 x 1 = 46354308
Therefore, the lowest common multiple of 681,182,308,221,884 is 46354308.
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 182 x 308 x 221 x 884 = 7457851905504
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
182 : 1, 2, 7, 13, 14, 26, 91, 182
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
221 : 1, 13, 17, 221
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,182,308,221,884, is 1.
Now, the common factors can be found like this.
681:3x 227
182:2x 7x 13
308:2x 2x 7x 11
221:13x 17
884:2x 2x 13x 17
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 7x 13x 13x 17 = 160888
Therefore, the value for common factors is 160888.
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 = 7457851905504/(1x160888)
LCM = 7457851905504/160888
LCM = 46354308
Thus, we can understand that the LCM of 681,182,308,221,884 is 46354308.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 681, 182, 308, 221, 884
1. What is the LCM of 681, 182, 308, 221, 884?
Answer: LCM of 681, 182, 308, 221, 884 is 46354308.
2. How to calculate the LCM of 681, 182, 308, 221, 884?
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, 182, 308, 221, 884.
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}.