Find the LCM of 246, 178, 801, 551, 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 246, 178, 801, 551, 870. So, keep reading to learn more.
Given numbers are 246,178,801,551,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 246,178,801,551,870 is 180953910.
Find LCM of 246,178,801,551,870 with Prime Factorization
2 | 246, 178, 801, 551, 870 |
3 | 123, 89, 801, 551, 435 |
29 | 41, 89, 267, 551, 145 |
89 | 41, 89, 267, 19, 5 |
41, 1, 3, 19, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 89 x 41 x 1 x 3 x 19 x 5 = 180953910
Therefore, the lowest common multiple of 246,178,801,551,870 is 180953910.
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.
246 x 178 x 801 x 551 x 870 = 16813513501560
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.
246 : 1, 2, 3, 6, 41, 82, 123, 246
178 : 1, 2, 89, 178
801 : 1, 3, 9, 89, 267, 801
551 : 1, 19, 29, 551
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 246,178,801,551,870, is 1.
Now, the common factors can be found like this.
246:2x 3x 41
178:2x 89
801:3x 3x 89
551:19x 29
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 2x 3x 3x 29x 89 = 92916
Therefore, the value for common factors is 92916.
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 = 16813513501560/(1x92916)
LCM = 16813513501560/92916
LCM = 180953910
Thus, we can understand that the LCM of 246,178,801,551,870 is 180953910.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 246, 178, 801, 551, 870?
Answer: LCM of 246, 178, 801, 551, 870 is 180953910.
2. How to calculate the LCM of 246, 178, 801, 551, 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 246, 178, 801, 551, 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}.