Find the LCM of 146, 697, 483, 391, 609 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 146, 697, 483, 391, 609. So, keep reading to learn more.
Given numbers are 146,697,483,391,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,697,483,391,609 is 1425380334.
Find LCM of 146,697,483,391,609 with Prime Factorization
3 | 146, 697, 483, 391, 609 |
7 | 146, 697, 161, 391, 203 |
17 | 146, 697, 23, 391, 29 |
23 | 146, 41, 23, 23, 29 |
146, 41, 1, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 17 x 23 x 146 x 41 x 1 x 1 x 29 = 1425380334
Therefore, the lowest common multiple of 146,697,483,391,609 is 1425380334.
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.
146 x 697 x 483 x 391 x 609 = 11703797922474
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.
146 : 1, 2, 73, 146
697 : 1, 17, 41, 697
483 : 1, 3, 7, 21, 23, 69, 161, 483
391 : 1, 17, 23, 391
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,697,483,391,609, is 1.
Now, the common factors can be found like this.
146:2x 73
697:17x 41
483:3x 7x 23
391:17x 23
609:3x 7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 17x 23 = 8211
Therefore, the value for common factors is 8211.
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 = 11703797922474/(1x8211)
LCM = 11703797922474/8211
LCM = 1425380334
Thus, we can understand that the LCM of 146,697,483,391,609 is 1425380334.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 146, 697, 483, 391, 609?
Answer: LCM of 146, 697, 483, 391, 609 is 1425380334.
2. How to calculate the LCM of 146, 697, 483, 391, 609?
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 146, 697, 483, 391, 609.
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}.