LCM of 642, 879, 933, 507, 252
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 879, 933, 507, 252 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 642, 879, 933, 507, 252. So, keep reading to learn more.
Given numbers are 642,879,933,507,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,879,933,507,252 is 415239856668.
Find LCM of 642,879,933,507,252 with Prime Factorization
| 2 | 642, 879, 933, 507, 252 |
| 3 | 321, 879, 933, 507, 126 |
| 107, 293, 311, 169, 42 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 107 x 293 x 311 x 169 x 42 = 415239856668
Therefore, the lowest common multiple of 642,879,933,507,252 is 415239856668.
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.
642 x 879 x 933 x 507 x 252 = 67268856780216
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
879 : 1, 3, 293, 879
933 : 1, 3, 311, 933
507 : 1, 3, 13, 39, 169, 507
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,879,933,507,252, is 3.
Now, the common factors can be found like this.
642:2x 3x 107
879:3x 293
933:3x 311
507:3x 13x 13
252:2x 2x 3x 3x 7
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 3x 3 = 54
Therefore, the value for common factors is 54.
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 = 67268856780216/(3x54)
LCM = 67268856780216/162
LCM = 415239856668
Thus, we can understand that the LCM of 642,879,933,507,252 is 415239856668.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 642, 879, 933, 507, 252
1. What is the LCM of 642, 879, 933, 507, 252?
Answer: LCM of 642, 879, 933, 507, 252 is 415239856668.
2. How to calculate the LCM of 642, 879, 933, 507, 252?
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 642, 879, 933, 507, 252.
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}.