Find the LCM of 702, 543, 529, 299, 566 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 702, 543, 529, 299, 566. So, keep reading to learn more.
Given numbers are 702,543,529,299,566
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,543,529,299,566 is 19022070834.
Find LCM of 702,543,529,299,566 with Prime Factorization
2 | 702, 543, 529, 299, 566 |
3 | 351, 543, 529, 299, 283 |
13 | 117, 181, 529, 299, 283 |
23 | 9, 181, 529, 23, 283 |
9, 181, 1, 23, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 9 x 181 x 1 x 23 x 283 = 19022070834
Therefore, the lowest common multiple of 702,543,529,299,566 is 19022070834.
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.
702 x 543 x 529 x 299 x 566 = 34125595076196
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
543 : 1, 3, 181, 543
529 : 1, 23, 529
299 : 1, 13, 23, 299
566 : 1, 2, 283, 566
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,543,529,299,566, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
543:3x 181
529:23x 23
299:13x 23
566:2x 283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 23 = 1794
Therefore, the value for common factors is 1794.
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 = 34125595076196/(1x1794)
LCM = 34125595076196/1794
LCM = 19022070834
Thus, we can understand that the LCM of 702,543,529,299,566 is 19022070834.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 702, 543, 529, 299, 566?
Answer: LCM of 702, 543, 529, 299, 566 is 19022070834.
2. How to calculate the LCM of 702, 543, 529, 299, 566?
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 702, 543, 529, 299, 566.
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}.