LCM of 841, 208, 928, 723, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 841, 208, 928, 723, 288 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 841, 208, 928, 723, 288. So, keep reading to learn more.
Given numbers are 841,208,928,723,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 841,208,928,723,288 is 758837664.
Find LCM of 841,208,928,723,288 with Prime Factorization
| 2 | 841, 208, 928, 723, 288 |
| 2 | 841, 104, 464, 723, 144 |
| 2 | 841, 52, 232, 723, 72 |
| 2 | 841, 26, 116, 723, 36 |
| 2 | 841, 13, 58, 723, 18 |
| 3 | 841, 13, 29, 723, 9 |
| 29 | 841, 13, 29, 241, 3 |
| 1, 13, 29, 241, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 29 x 1 x 13 x 29 x 241 x 3 = 758837664
Therefore, the lowest common multiple of 841,208,928,723,288 is 758837664.
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.
841 x 208 x 928 x 723 x 288 = 33801664905216
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.
841 : 1, 29, 841
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
723 : 1, 3, 241, 723
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,208,928,723,288, is 1.
Now, the common factors can be found like this.
841:29x 29
208:2x 2x 2x 2x 13
928:2x 2x 2x 2x 2x 29
723:3x 241
288:2x 2x 2x 2x 2x 3x 3
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 2x 2x 2x 3x 29 = 44544
Therefore, the value for common factors is 44544.
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 = 33801664905216/(1x44544)
LCM = 33801664905216/44544
LCM = 758837664
Thus, we can understand that the LCM of 841,208,928,723,288 is 758837664.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 841, 208, 928, 723, 288
1. What is the LCM of 841, 208, 928, 723, 288?
Answer: LCM of 841, 208, 928, 723, 288 is 758837664.
2. How to calculate the LCM of 841, 208, 928, 723, 288?
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 841, 208, 928, 723, 288.
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}.