Find the LCM of 330, 903, 602, 627, 563 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 330, 903, 602, 627, 563. So, keep reading to learn more.
Given numbers are 330,903,602,627,563
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,903,602,627,563 is 1062533010.
Find LCM of 330,903,602,627,563 with Prime Factorization
2 | 330, 903, 602, 627, 563 |
3 | 165, 903, 301, 627, 563 |
7 | 55, 301, 301, 209, 563 |
11 | 55, 43, 43, 209, 563 |
43 | 5, 43, 43, 19, 563 |
5, 1, 1, 19, 563 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 43 x 5 x 1 x 1 x 19 x 563 = 1062533010
Therefore, the lowest common multiple of 330,903,602,627,563 is 1062533010.
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.
330 x 903 x 602 x 627 x 563 = 63324842329980
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.
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
903 : 1, 3, 7, 21, 43, 129, 301, 903
602 : 1, 2, 7, 14, 43, 86, 301, 602
627 : 1, 3, 11, 19, 33, 57, 209, 627
563 : 1, 563
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,903,602,627,563, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
903:3x 7x 43
602:2x 7x 43
627:3x 11x 19
563:563
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 7x 11x 43 = 59598
Therefore, the value for common factors is 59598.
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 = 63324842329980/(1x59598)
LCM = 63324842329980/59598
LCM = 1062533010
Thus, we can understand that the LCM of 330,903,602,627,563 is 1062533010.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 330, 903, 602, 627, 563?
Answer: LCM of 330, 903, 602, 627, 563 is 1062533010.
2. How to calculate the LCM of 330, 903, 602, 627, 563?
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 330, 903, 602, 627, 563.
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}.