LCM of 589, 672, 741, 545, 264
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 672, 741, 545, 264 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 589, 672, 741, 545, 264. So, keep reading to learn more.
Given numbers are 589,672,741,545,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,672,741,545,264 is 30847296480.
Find LCM of 589,672,741,545,264 with Prime Factorization
| 2 | 589, 672, 741, 545, 264 |
| 2 | 589, 336, 741, 545, 132 |
| 2 | 589, 168, 741, 545, 66 |
| 3 | 589, 84, 741, 545, 33 |
| 19 | 589, 28, 247, 545, 11 |
| 31, 28, 13, 545, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 31 x 28 x 13 x 545 x 11 = 30847296480
Therefore, the lowest common multiple of 589,672,741,545,264 is 30847296480.
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.
589 x 672 x 741 x 545 x 264 = 42199101584640
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.
589 : 1, 19, 31, 589
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
741 : 1, 3, 13, 19, 39, 57, 247, 741
545 : 1, 5, 109, 545
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,672,741,545,264, is 1.
Now, the common factors can be found like this.
589:19x 31
672:2x 2x 2x 2x 2x 3x 7
741:3x 13x 19
545:5x 109
264:2x 2x 2x 3x 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 3x 3x 19 = 1368
Therefore, the value for common factors is 1368.
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 = 42199101584640/(1x1368)
LCM = 42199101584640/1368
LCM = 30847296480
Thus, we can understand that the LCM of 589,672,741,545,264 is 30847296480.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 589, 672, 741, 545, 264
1. What is the LCM of 589, 672, 741, 545, 264?
Answer: LCM of 589, 672, 741, 545, 264 is 30847296480.
2. How to calculate the LCM of 589, 672, 741, 545, 264?
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 589, 672, 741, 545, 264.
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}.