Find the LCM of 322, 543, 638, 804, 246 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 322, 543, 638, 804, 246. So, keep reading to learn more.
Given numbers are 322,543,638,804,246
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,543,638,804,246 is 306432651756.
Find LCM of 322,543,638,804,246 with Prime Factorization
2 | 322, 543, 638, 804, 246 |
3 | 161, 543, 319, 402, 123 |
161, 181, 319, 134, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 161 x 181 x 319 x 134 x 41 = 306432651756
Therefore, the lowest common multiple of 322,543,638,804,246 is 306432651756.
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.
322 x 543 x 638 x 804 x 246 = 22063150926432
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.
322 : 1, 2, 7, 14, 23, 46, 161, 322
543 : 1, 3, 181, 543
638 : 1, 2, 11, 22, 29, 58, 319, 638
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
246 : 1, 2, 3, 6, 41, 82, 123, 246
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,543,638,804,246, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
543:3x 181
638:2x 11x 29
804:2x 2x 3x 67
246:2x 3x 41
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 3 = 72
Therefore, the value for common factors is 72.
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 = 22063150926432/(1x72)
LCM = 22063150926432/72
LCM = 306432651756
Thus, we can understand that the LCM of 322,543,638,804,246 is 306432651756.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 322, 543, 638, 804, 246?
Answer: LCM of 322, 543, 638, 804, 246 is 306432651756.
2. How to calculate the LCM of 322, 543, 638, 804, 246?
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 322, 543, 638, 804, 246.
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}.