LCM of 721, 143, 418, 583, 692
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 143, 418, 583, 692 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 721, 143, 418, 583, 692. So, keep reading to learn more.
Given numbers are 721,143,418,583,692
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,143,418,583,692 is 71846706932.
Find LCM of 721,143,418,583,692 with Prime Factorization
| 2 | 721, 143, 418, 583, 692 |
| 11 | 721, 143, 209, 583, 346 |
| 721, 13, 19, 53, 346 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 721 x 13 x 19 x 53 x 346 = 71846706932
Therefore, the lowest common multiple of 721,143,418,583,692 is 71846706932.
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.
721 x 143 x 418 x 583 x 692 = 17386903077544
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.
721 : 1, 7, 103, 721
143 : 1, 11, 13, 143
418 : 1, 2, 11, 19, 22, 38, 209, 418
583 : 1, 11, 53, 583
692 : 1, 2, 4, 173, 346, 692
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,143,418,583,692, is 1.
Now, the common factors can be found like this.
721:7x 103
143:11x 13
418:2x 11x 19
583:11x 53
692:2x 2x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11 = 242
Therefore, the value for common factors is 242.
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 = 17386903077544/(1x242)
LCM = 17386903077544/242
LCM = 71846706932
Thus, we can understand that the LCM of 721,143,418,583,692 is 71846706932.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 721, 143, 418, 583, 692
1. What is the LCM of 721, 143, 418, 583, 692?
Answer: LCM of 721, 143, 418, 583, 692 is 71846706932.
2. How to calculate the LCM of 721, 143, 418, 583, 692?
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 721, 143, 418, 583, 692.
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}.