Find the LCM of 303, 403, 622, 533, 648 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 303, 403, 622, 533, 648. So, keep reading to learn more.
Given numbers are 303,403,622,533,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,403,622,533,648 is 336314561544.
Find LCM of 303,403,622,533,648 with Prime Factorization
2 | 303, 403, 622, 533, 648 |
3 | 303, 403, 311, 533, 324 |
13 | 101, 403, 311, 533, 108 |
101, 31, 311, 41, 108 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 101 x 31 x 311 x 41 x 108 = 336314561544
Therefore, the lowest common multiple of 303,403,622,533,648 is 336314561544.
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.
303 x 403 x 622 x 533 x 648 = 26232535800432
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.
303 : 1, 3, 101, 303
403 : 1, 13, 31, 403
622 : 1, 2, 311, 622
533 : 1, 13, 41, 533
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,403,622,533,648, is 1.
Now, the common factors can be found like this.
303:3x 101
403:13x 31
622:2x 311
533:13x 41
648:2x 2x 2x 3x 3x 3x 3
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 13 = 78
Therefore, the value for common factors is 78.
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 = 26232535800432/(1x78)
LCM = 26232535800432/78
LCM = 336314561544
Thus, we can understand that the LCM of 303,403,622,533,648 is 336314561544.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 303, 403, 622, 533, 648?
Answer: LCM of 303, 403, 622, 533, 648 is 336314561544.
2. How to calculate the LCM of 303, 403, 622, 533, 648?
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 303, 403, 622, 533, 648.
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}.