Find the LCM of 441, 432, 131, 502, 159 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 441, 432, 131, 502, 159. So, keep reading to learn more.
Given numbers are 441,432,131,502,159
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 441,432,131,502,159 is 36889325424.
Find LCM of 441,432,131,502,159 with Prime Factorization
2 | 441, 432, 131, 502, 159 |
3 | 441, 216, 131, 251, 159 |
3 | 147, 72, 131, 251, 53 |
49, 24, 131, 251, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 49 x 24 x 131 x 251 x 53 = 36889325424
Therefore, the lowest common multiple of 441,432,131,502,159 is 36889325424.
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.
441 x 432 x 131 x 502 x 159 = 1992023572896
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.
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
131 : 1, 131
502 : 1, 2, 251, 502
159 : 1, 3, 53, 159
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,432,131,502,159, is 1.
Now, the common factors can be found like this.
441:3x 3x 7x 7
432:2x 2x 2x 2x 3x 3x 3
131:131
502:2x 251
159:3x 53
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 3 = 54
Therefore, the value for common factors is 54.
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 = 1992023572896/(1x54)
LCM = 1992023572896/54
LCM = 36889325424
Thus, we can understand that the LCM of 441,432,131,502,159 is 36889325424.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 441, 432, 131, 502, 159?
Answer: LCM of 441, 432, 131, 502, 159 is 36889325424.
2. How to calculate the LCM of 441, 432, 131, 502, 159?
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 441, 432, 131, 502, 159.
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}.