Find the LCM of 447, 309, 920, 756, 564 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 447, 309, 920, 756, 564. So, keep reading to learn more.
Given numbers are 447,309,920,756,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 447,309,920,756,564 is 125421208920.
Find LCM of 447,309,920,756,564 with Prime Factorization
2 | 447, 309, 920, 756, 564 |
2 | 447, 309, 460, 378, 282 |
3 | 447, 309, 230, 189, 141 |
149, 103, 230, 63, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 149 x 103 x 230 x 63 x 47 = 125421208920
Therefore, the lowest common multiple of 447,309,920,756,564 is 125421208920.
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.
447 x 309 x 920 x 756 x 564 = 54181962253440
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.
447 : 1, 3, 149, 447
309 : 1, 3, 103, 309
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,309,920,756,564, is 1.
Now, the common factors can be found like this.
447:3x 149
309:3x 103
920:2x 2x 2x 5x 23
756:2x 2x 3x 3x 3x 7
564:2x 2x 3x 47
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 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 54181962253440/(1x432)
LCM = 54181962253440/432
LCM = 125421208920
Thus, we can understand that the LCM of 447,309,920,756,564 is 125421208920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 447, 309, 920, 756, 564?
Answer: LCM of 447, 309, 920, 756, 564 is 125421208920.
2. How to calculate the LCM of 447, 309, 920, 756, 564?
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 447, 309, 920, 756, 564.
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}.