LCM of 573, 552, 682, 415, 176
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 573, 552, 682, 415, 176 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 573, 552, 682, 415, 176. So, keep reading to learn more.
Given numbers are 573,552,682,415,176
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 573,552,682,415,176 is 29840418960.
Find LCM of 573,552,682,415,176 with Prime Factorization
| 2 | 573, 552, 682, 415, 176 |
| 2 | 573, 276, 341, 415, 88 |
| 2 | 573, 138, 341, 415, 44 |
| 3 | 573, 69, 341, 415, 22 |
| 11 | 191, 23, 341, 415, 22 |
| 191, 23, 31, 415, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 191 x 23 x 31 x 415 x 2 = 29840418960
Therefore, the lowest common multiple of 573,552,682,415,176 is 29840418960.
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.
573 x 552 x 682 x 415 x 176 = 15755741210880
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.
573 : 1, 3, 191, 573
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
682 : 1, 2, 11, 22, 31, 62, 341, 682
415 : 1, 5, 83, 415
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 573,552,682,415,176, is 1.
Now, the common factors can be found like this.
573:3x 191
552:2x 2x 2x 3x 23
682:2x 11x 31
415:5x 83
176:2x 2x 2x 2x 11
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 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 15755741210880/(1x528)
LCM = 15755741210880/528
LCM = 29840418960
Thus, we can understand that the LCM of 573,552,682,415,176 is 29840418960.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 573, 552, 682, 415, 176
1. What is the LCM of 573, 552, 682, 415, 176?
Answer: LCM of 573, 552, 682, 415, 176 is 29840418960.
2. How to calculate the LCM of 573, 552, 682, 415, 176?
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 573, 552, 682, 415, 176.
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}.