Find the LCM of 533, 447, 540, 315, 618 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 533, 447, 540, 315, 618. So, keep reading to learn more.
Given numbers are 533,447,540,315,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 533,447,540,315,618 is 30920214780.
Find LCM of 533,447,540,315,618 with Prime Factorization
2 | 533, 447, 540, 315, 618 |
3 | 533, 447, 270, 315, 309 |
3 | 533, 149, 90, 105, 103 |
5 | 533, 149, 30, 35, 103 |
533, 149, 6, 7, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 533 x 149 x 6 x 7 x 103 = 30920214780
Therefore, the lowest common multiple of 533,447,540,315,618 is 30920214780.
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.
533 x 447 x 540 x 315 x 618 = 25045373971800
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.
533 : 1, 13, 41, 533
447 : 1, 3, 149, 447
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
618 : 1, 2, 3, 6, 103, 206, 309, 618
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,447,540,315,618, is 1.
Now, the common factors can be found like this.
533:13x 41
447:3x 149
540:2x 2x 3x 3x 3x 5
315:3x 3x 5x 7
618:2x 3x 103
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 3x 3x 5 = 810
Therefore, the value for common factors is 810.
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 = 25045373971800/(1x810)
LCM = 25045373971800/810
LCM = 30920214780
Thus, we can understand that the LCM of 533,447,540,315,618 is 30920214780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 533, 447, 540, 315, 618?
Answer: LCM of 533, 447, 540, 315, 618 is 30920214780.
2. How to calculate the LCM of 533, 447, 540, 315, 618?
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 533, 447, 540, 315, 618.
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}.