Find the LCM of 396, 433, 543, 822, 630 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 396, 433, 543, 822, 630. So, keep reading to learn more.
Given numbers are 396,433,543,822,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,433,543,822,630 is 148816219860.
Find LCM of 396,433,543,822,630 with Prime Factorization
2 | 396, 433, 543, 822, 630 |
3 | 198, 433, 543, 411, 315 |
3 | 66, 433, 181, 137, 105 |
22, 433, 181, 137, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 22 x 433 x 181 x 137 x 35 = 148816219860
Therefore, the lowest common multiple of 396,433,543,822,630 is 148816219860.
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.
396 x 433 x 543 x 822 x 630 = 48216455234640
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
433 : 1, 433
543 : 1, 3, 181, 543
822 : 1, 2, 3, 6, 137, 274, 411, 822
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,433,543,822,630, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
433:433
543:3x 181
822:2x 3x 137
630:2x 3x 3x 5x 7
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 3x 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 48216455234640/(1x324)
LCM = 48216455234640/324
LCM = 148816219860
Thus, we can understand that the LCM of 396,433,543,822,630 is 148816219860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 396, 433, 543, 822, 630?
Answer: LCM of 396, 433, 543, 822, 630 is 148816219860.
2. How to calculate the LCM of 396, 433, 543, 822, 630?
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 396, 433, 543, 822, 630.
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}.