Find the LCM of 535, 817, 858, 622, 660 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 535, 817, 858, 622, 660. So, keep reading to learn more.
Given numbers are 535,817,858,622,660
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,817,858,622,660 is 233267111220.
Find LCM of 535,817,858,622,660 with Prime Factorization
2 | 535, 817, 858, 622, 660 |
3 | 535, 817, 429, 311, 330 |
5 | 535, 817, 143, 311, 110 |
11 | 107, 817, 143, 311, 22 |
107, 817, 13, 311, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 107 x 817 x 13 x 311 x 2 = 233267111220
Therefore, the lowest common multiple of 535,817,858,622,660 is 233267111220.
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.
535 x 817 x 858 x 622 x 660 = 153956293405200
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.
535 : 1, 5, 107, 535
817 : 1, 19, 43, 817
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
622 : 1, 2, 311, 622
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,817,858,622,660, is 1.
Now, the common factors can be found like this.
535:5x 107
817:19x 43
858:2x 3x 11x 13
622:2x 311
660:2x 2x 3x 5x 11
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 3x 5x 11 = 660
Therefore, the value for common factors is 660.
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 = 153956293405200/(1x660)
LCM = 153956293405200/660
LCM = 233267111220
Thus, we can understand that the LCM of 535,817,858,622,660 is 233267111220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 535, 817, 858, 622, 660?
Answer: LCM of 535, 817, 858, 622, 660 is 233267111220.
2. How to calculate the LCM of 535, 817, 858, 622, 660?
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 535, 817, 858, 622, 660.
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}.