Find the LCM of 346, 555, 887, 775, 870 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 346, 555, 887, 775, 870. So, keep reading to learn more.
Given numbers are 346,555,887,775,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 346,555,887,775,870 is 765636091950.
Find LCM of 346,555,887,775,870 with Prime Factorization
2 | 346, 555, 887, 775, 870 |
3 | 173, 555, 887, 775, 435 |
5 | 173, 185, 887, 775, 145 |
173, 37, 887, 155, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 173 x 37 x 887 x 155 x 29 = 765636091950
Therefore, the lowest common multiple of 346,555,887,775,870 is 765636091950.
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.
346 x 555 x 887 x 775 x 870 = 114845413792500
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.
346 : 1, 2, 173, 346
555 : 1, 3, 5, 15, 37, 111, 185, 555
887 : 1, 887
775 : 1, 5, 25, 31, 155, 775
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,555,887,775,870, is 1.
Now, the common factors can be found like this.
346:2x 173
555:3x 5x 37
887:887
775:5x 5x 31
870:2x 3x 5x 29
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 5x 5 = 150
Therefore, the value for common factors is 150.
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 = 114845413792500/(1x150)
LCM = 114845413792500/150
LCM = 765636091950
Thus, we can understand that the LCM of 346,555,887,775,870 is 765636091950.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 346, 555, 887, 775, 870?
Answer: LCM of 346, 555, 887, 775, 870 is 765636091950.
2. How to calculate the LCM of 346, 555, 887, 775, 870?
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 346, 555, 887, 775, 870.
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}.