Find the LCM of 747, 891, 578, 162 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 747, 891, 578, 162. So, keep reading to learn more.
Given numbers are 747,891,578,162
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,891,578,162 is 42744834.
Find LCM of 747,891,578,162 with Prime Factorization
2 | 747, 891, 578, 162 |
3 | 747, 891, 289, 81 |
3 | 249, 297, 289, 27 |
3 | 83, 99, 289, 9 |
3 | 83, 33, 289, 3 |
83, 11, 289, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 83 x 11 x 289 x 1 = 42744834
Therefore, the lowest common multiple of 747,891,578,162 is 42744834.
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.
747 x 891 x 578 x 162 = 62321967972
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.
747 : 1, 3, 9, 83, 249, 747
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
578 : 1, 2, 17, 34, 289, 578
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,891,578,162, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
891:3x 3x 3x 3x 11
578:2x 17x 17
162:2x 3x 3x 3x 3
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 3x 3x 3x 3 = 1458
Therefore, the value for common factors is 1458.
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 = 62321967972/(1x1458)
LCM = 62321967972/1458
LCM = 42744834
Thus, we can understand that the LCM of 747,891,578,162 is 42744834.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 747, 891, 578, 162?
Answer: LCM of 747, 891, 578, 162 is 42744834.
2. How to calculate the LCM of 747, 891, 578, 162?
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 747, 891, 578, 162.
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}.