Find the LCM of 342, 396, 363, 900, 359 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 342, 396, 363, 900, 359. So, keep reading to learn more.
Given numbers are 342,396,363,900,359
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 342,396,363,900,359 is 742806900.
Find LCM of 342,396,363,900,359 with Prime Factorization
2 | 342, 396, 363, 900, 359 |
2 | 171, 198, 363, 450, 359 |
3 | 171, 99, 363, 225, 359 |
3 | 57, 33, 121, 75, 359 |
11 | 19, 11, 121, 25, 359 |
19, 1, 11, 25, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 19 x 1 x 11 x 25 x 359 = 742806900
Therefore, the lowest common multiple of 342,396,363,900,359 is 742806900.
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.
342 x 396 x 363 x 900 x 359 = 15884182749600
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.
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
363 : 1, 3, 11, 33, 121, 363
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
359 : 1, 359
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,396,363,900,359, is 1.
Now, the common factors can be found like this.
342:2x 3x 3x 19
396:2x 2x 3x 3x 11
363:3x 11x 11
900:2x 2x 3x 3x 5x 5
359:359
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 3x 3x 3x 11 = 21384
Therefore, the value for common factors is 21384.
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 = 15884182749600/(1x21384)
LCM = 15884182749600/21384
LCM = 742806900
Thus, we can understand that the LCM of 342,396,363,900,359 is 742806900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 342, 396, 363, 900, 359?
Answer: LCM of 342, 396, 363, 900, 359 is 742806900.
2. How to calculate the LCM of 342, 396, 363, 900, 359?
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 342, 396, 363, 900, 359.
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}.