Find the LCM of 9, 545, 355, 549 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 9, 545, 355, 549. So, keep reading to learn more.
Given numbers are 9,545,355,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9,545,355,549 is 21243555.
Find LCM of 9,545,355,549 with Prime Factorization
3 | 9, 545, 355, 549 |
3 | 3, 545, 355, 183 |
5 | 1, 545, 355, 61 |
1, 109, 71, 61 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 1 x 109 x 71 x 61 = 21243555
Therefore, the lowest common multiple of 9,545,355,549 is 21243555.
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.
9 x 545 x 355 x 549 = 955959975
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.
9 : 1, 3, 9
545 : 1, 5, 109, 545
355 : 1, 5, 71, 355
549 : 1, 3, 9, 61, 183, 549
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9,545,355,549, is 1.
Now, the common factors can be found like this.
9:3x 3
545:5x 109
355:5x 71
549:3x 3x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5 = 45
Therefore, the value for common factors is 45.
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 = 955959975/(1x45)
LCM = 955959975/45
LCM = 21243555
Thus, we can understand that the LCM of 9,545,355,549 is 21243555.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 9, 545, 355, 549?
Answer: LCM of 9, 545, 355, 549 is 21243555.
2. How to calculate the LCM of 9, 545, 355, 549?
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 9, 545, 355, 549.
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}.