Find the LCM of 858, 966, 552, 879, 556 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 858, 966, 552, 879, 556. So, keep reading to learn more.
Given numbers are 858,966,552,879,556
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,966,552,879,556 is 22503785304.
Find LCM of 858,966,552,879,556 with Prime Factorization
2 | 858, 966, 552, 879, 556 |
2 | 429, 483, 276, 879, 278 |
3 | 429, 483, 138, 879, 139 |
23 | 143, 161, 46, 293, 139 |
143, 7, 2, 293, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 143 x 7 x 2 x 293 x 139 = 22503785304
Therefore, the lowest common multiple of 858,966,552,879,556 is 22503785304.
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.
858 x 966 x 552 x 879 x 556 = 223597610780544
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
879 : 1, 3, 293, 879
556 : 1, 2, 4, 139, 278, 556
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,966,552,879,556, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
966:2x 3x 7x 23
552:2x 2x 2x 3x 23
879:3x 293
556:2x 2x 139
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 2x 3x 3x 3x 23 = 9936
Therefore, the value for common factors is 9936.
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 = 223597610780544/(1x9936)
LCM = 223597610780544/9936
LCM = 22503785304
Thus, we can understand that the LCM of 858,966,552,879,556 is 22503785304.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 858, 966, 552, 879, 556?
Answer: LCM of 858, 966, 552, 879, 556 is 22503785304.
2. How to calculate the LCM of 858, 966, 552, 879, 556?
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 858, 966, 552, 879, 556.
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}.