LCM of 234, 621, 933, 572, 544
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 234, 621, 933, 572, 544 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 234, 621, 933, 572, 544. So, keep reading to learn more.
Given numbers are 234,621,933,572,544
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,621,933,572,544 is 15024046752.
Find LCM of 234,621,933,572,544 with Prime Factorization
| 2 | 234, 621, 933, 572, 544 |
| 2 | 117, 621, 933, 286, 272 |
| 3 | 117, 621, 933, 143, 136 |
| 3 | 39, 207, 311, 143, 136 |
| 13 | 13, 69, 311, 143, 136 |
| 1, 69, 311, 11, 136 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 1 x 69 x 311 x 11 x 136 = 15024046752
Therefore, the lowest common multiple of 234,621,933,572,544 is 15024046752.
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.
234 x 621 x 933 x 572 x 544 = 42187523279616
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.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
621 : 1, 3, 9, 23, 27, 69, 207, 621
933 : 1, 3, 311, 933
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,621,933,572,544, is 1.
Now, the common factors can be found like this.
234:2x 3x 3x 13
621:3x 3x 3x 23
933:3x 311
572:2x 2x 11x 13
544:2x 2x 2x 2x 2x 17
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 3x 3x 3x 13 = 2808
Therefore, the value for common factors is 2808.
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 = 42187523279616/(1x2808)
LCM = 42187523279616/2808
LCM = 15024046752
Thus, we can understand that the LCM of 234,621,933,572,544 is 15024046752.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 234, 621, 933, 572, 544
1. What is the LCM of 234, 621, 933, 572, 544?
Answer: LCM of 234, 621, 933, 572, 544 is 15024046752.
2. How to calculate the LCM of 234, 621, 933, 572, 544?
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 234, 621, 933, 572, 544.
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}.