LCM of 576, 719, 408, 786, 572
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 576, 719, 408, 786, 572 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 576, 719, 408, 786, 572. So, keep reading to learn more.
Given numbers are 576,719,408,786,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 576,719,408,786,572 is 131888712384.
Find LCM of 576,719,408,786,572 with Prime Factorization
| 2 | 576, 719, 408, 786, 572 |
| 2 | 288, 719, 204, 393, 286 |
| 2 | 144, 719, 102, 393, 143 |
| 3 | 72, 719, 51, 393, 143 |
| 24, 719, 17, 131, 143 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 24 x 719 x 17 x 131 x 143 = 131888712384
Therefore, the lowest common multiple of 576,719,408,786,572 is 131888712384.
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.
576 x 719 x 408 x 786 x 572 = 75967898333184
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.
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
719 : 1, 719
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
786 : 1, 2, 3, 6, 131, 262, 393, 786
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,719,408,786,572, is 1.
Now, the common factors can be found like this.
576:2x 2x 2x 2x 2x 2x 3x 3
719:719
408:2x 2x 2x 3x 17
786:2x 3x 131
572:2x 2x 11x 13
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 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 75967898333184/(1x576)
LCM = 75967898333184/576
LCM = 131888712384
Thus, we can understand that the LCM of 576,719,408,786,572 is 131888712384.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 576, 719, 408, 786, 572
1. What is the LCM of 576, 719, 408, 786, 572?
Answer: LCM of 576, 719, 408, 786, 572 is 131888712384.
2. How to calculate the LCM of 576, 719, 408, 786, 572?
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 576, 719, 408, 786, 572.
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}.