Find the LCM of 402, 858, 867, 172, 102 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 402, 858, 867, 172, 102. So, keep reading to learn more.
Given numbers are 402,858,867,172,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 402,858,867,172,102 is 1428757044.
Find LCM of 402,858,867,172,102 with Prime Factorization
2 | 402, 858, 867, 172, 102 |
3 | 201, 429, 867, 86, 51 |
17 | 67, 143, 289, 86, 17 |
67, 143, 1, 86, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 67 x 143 x 1 x 86 x 17 = 1428757044
Therefore, the lowest common multiple of 402,858,867,172,102 is 1428757044.
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.
402 x 858 x 867 x 172 x 102 = 5246395865568
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.
402 : 1, 2, 3, 6, 67, 134, 201, 402
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
867 : 1, 3, 17, 51, 289, 867
172 : 1, 2, 4, 43, 86, 172
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,858,867,172,102, is 1.
Now, the common factors can be found like this.
402:2x 3x 67
858:2x 3x 11x 13
867:3x 17x 17
172:2x 2x 43
102:2x 3x 17
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 3x 3x 3x 17 = 3672
Therefore, the value for common factors is 3672.
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 = 5246395865568/(1x3672)
LCM = 5246395865568/3672
LCM = 1428757044
Thus, we can understand that the LCM of 402,858,867,172,102 is 1428757044.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 402, 858, 867, 172, 102?
Answer: LCM of 402, 858, 867, 172, 102 is 1428757044.
2. How to calculate the LCM of 402, 858, 867, 172, 102?
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 402, 858, 867, 172, 102.
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}.