LCM of 106, 870, 901, 899, 236
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 106, 870, 901, 899, 236 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 106, 870, 901, 899, 236. So, keep reading to learn more.
Given numbers are 106,870,901,899,236
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 106,870,901,899,236 is 2867396460.
Find LCM of 106,870,901,899,236 with Prime Factorization
| 2 | 106, 870, 901, 899, 236 |
| 29 | 53, 435, 901, 899, 118 |
| 53 | 53, 15, 901, 31, 118 |
| 1, 15, 17, 31, 118 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 53 x 1 x 15 x 17 x 31 x 118 = 2867396460
Therefore, the lowest common multiple of 106,870,901,899,236 is 2867396460.
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.
106 x 870 x 901 x 899 x 236 = 17628753436080
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.
106 : 1, 2, 53, 106
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
901 : 1, 17, 53, 901
899 : 1, 29, 31, 899
236 : 1, 2, 4, 59, 118, 236
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,870,901,899,236, is 1.
Now, the common factors can be found like this.
106:2x 53
870:2x 3x 5x 29
901:17x 53
899:29x 31
236:2x 2x 59
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 29x 53 = 6148
Therefore, the value for common factors is 6148.
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 = 17628753436080/(1x6148)
LCM = 17628753436080/6148
LCM = 2867396460
Thus, we can understand that the LCM of 106,870,901,899,236 is 2867396460.
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FAQs on LCM of 106, 870, 901, 899, 236
1. What is the LCM of 106, 870, 901, 899, 236?
Answer: LCM of 106, 870, 901, 899, 236 is 2867396460.
2. How to calculate the LCM of 106, 870, 901, 899, 236?
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 106, 870, 901, 899, 236.
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}.