LCM of 804, 110, 220, 905, 872
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 804, 110, 220, 905, 872 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 804, 110, 220, 905, 872. So, keep reading to learn more.
Given numbers are 804,110,220,905,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 804,110,220,905,872 is 1744832760.
Find LCM of 804,110,220,905,872 with Prime Factorization
| 2 | 804, 110, 220, 905, 872 |
| 2 | 402, 55, 110, 905, 436 |
| 5 | 201, 55, 55, 905, 218 |
| 11 | 201, 11, 11, 181, 218 |
| 201, 1, 1, 181, 218 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 201 x 1 x 1 x 181 x 218 = 1744832760
Therefore, the lowest common multiple of 804,110,220,905,872 is 1744832760.
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.
804 x 110 x 220 x 905 x 872 = 15354528288000
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.
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
110 : 1, 2, 5, 10, 11, 22, 55, 110
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
905 : 1, 5, 181, 905
872 : 1, 2, 4, 8, 109, 218, 436, 872
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,110,220,905,872, is 1.
Now, the common factors can be found like this.
804:2x 2x 3x 67
110:2x 5x 11
220:2x 2x 5x 11
905:5x 181
872:2x 2x 2x 109
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 5x 5x 11 = 8800
Therefore, the value for common factors is 8800.
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 = 15354528288000/(1x8800)
LCM = 15354528288000/8800
LCM = 1744832760
Thus, we can understand that the LCM of 804,110,220,905,872 is 1744832760.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 804, 110, 220, 905, 872
1. What is the LCM of 804, 110, 220, 905, 872?
Answer: LCM of 804, 110, 220, 905, 872 is 1744832760.
2. How to calculate the LCM of 804, 110, 220, 905, 872?
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 804, 110, 220, 905, 872.
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}.