Find the LCM of 531, 408, 247, 437, 496 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 531, 408, 247, 437, 496. So, keep reading to learn more.
Given numbers are 531,408,247,437,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 531,408,247,437,496 is 25436063952.
Find LCM of 531,408,247,437,496 with Prime Factorization
2 | 531, 408, 247, 437, 496 |
2 | 531, 204, 247, 437, 248 |
2 | 531, 102, 247, 437, 124 |
3 | 531, 51, 247, 437, 62 |
19 | 177, 17, 247, 437, 62 |
177, 17, 13, 23, 62 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 177 x 17 x 13 x 23 x 62 = 25436063952
Therefore, the lowest common multiple of 531,408,247,437,496 is 25436063952.
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.
531 x 408 x 247 x 437 x 496 = 11598845162112
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.
531 : 1, 3, 9, 59, 177, 531
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
247 : 1, 13, 19, 247
437 : 1, 19, 23, 437
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,408,247,437,496, is 1.
Now, the common factors can be found like this.
531:3x 3x 59
408:2x 2x 2x 3x 17
247:13x 19
437:19x 23
496:2x 2x 2x 2x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 19 = 456
Therefore, the value for common factors is 456.
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 = 11598845162112/(1x456)
LCM = 11598845162112/456
LCM = 25436063952
Thus, we can understand that the LCM of 531,408,247,437,496 is 25436063952.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 531, 408, 247, 437, 496?
Answer: LCM of 531, 408, 247, 437, 496 is 25436063952.
2. How to calculate the LCM of 531, 408, 247, 437, 496?
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 531, 408, 247, 437, 496.
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}.