Find the LCM of 567, 659, 531, 884, 251 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 567, 659, 531, 884, 251. So, keep reading to learn more.
Given numbers are 567,659,531,884,251
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,659,531,884,251 is 4891549712868.
Find LCM of 567,659,531,884,251 with Prime Factorization
3 | 567, 659, 531, 884, 251 |
3 | 189, 659, 177, 884, 251 |
63, 659, 59, 884, 251 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 63 x 659 x 59 x 884 x 251 = 4891549712868
Therefore, the lowest common multiple of 567,659,531,884,251 is 4891549712868.
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.
567 x 659 x 531 x 884 x 251 = 44023947415812
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
659 : 1, 659
531 : 1, 3, 9, 59, 177, 531
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
251 : 1, 251
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,659,531,884,251, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
659:659
531:3x 3x 59
884:2x 2x 13x 17
251:251
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 44023947415812/(1x9)
LCM = 44023947415812/9
LCM = 4891549712868
Thus, we can understand that the LCM of 567,659,531,884,251 is 4891549712868.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 567, 659, 531, 884, 251?
Answer: LCM of 567, 659, 531, 884, 251 is 4891549712868.
2. How to calculate the LCM of 567, 659, 531, 884, 251?
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 567, 659, 531, 884, 251.
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}.