LCM of 579, 572, 108, 803
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 579, 572, 108, 803 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 579, 572, 108, 803. So, keep reading to learn more.
Given numbers are 579,572,108,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 579,572,108,803 is 217590516.
Find LCM of 579,572,108,803 with Prime Factorization
| 2 | 579, 572, 108, 803 |
| 2 | 579, 286, 54, 803 |
| 3 | 579, 143, 27, 803 |
| 11 | 193, 143, 9, 803 |
| 193, 13, 9, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 193 x 13 x 9 x 73 = 217590516
Therefore, the lowest common multiple of 579,572,108,803 is 217590516.
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.
579 x 572 x 108 x 803 = 28721948112
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.
579 : 1, 3, 193, 579
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,572,108,803, is 1.
Now, the common factors can be found like this.
579:3x 193
572:2x 2x 11x 13
108:2x 2x 3x 3x 3
803:11x 73
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 28721948112/(1x132)
LCM = 28721948112/132
LCM = 217590516
Thus, we can understand that the LCM of 579,572,108,803 is 217590516.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 579, 572, 108, 803
1. What is the LCM of 579, 572, 108, 803?
Answer: LCM of 579, 572, 108, 803 is 217590516.
2. How to calculate the LCM of 579, 572, 108, 803?
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 579, 572, 108, 803.
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}.