Find the LCM of 678, 189, 946, 258, 286 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 678, 189, 946, 258, 286. So, keep reading to learn more.
Given numbers are 678,189,946,258,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,189,946,258,286 is 262648386.
Find LCM of 678,189,946,258,286 with Prime Factorization
2 | 678, 189, 946, 258, 286 |
3 | 339, 189, 473, 129, 143 |
11 | 113, 63, 473, 43, 143 |
43 | 113, 63, 43, 43, 13 |
113, 63, 1, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 43 x 113 x 63 x 1 x 1 x 13 = 262648386
Therefore, the lowest common multiple of 678,189,946,258,286 is 262648386.
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.
678 x 189 x 946 x 258 x 286 = 8944753433616
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
189 : 1, 3, 7, 9, 21, 27, 63, 189
946 : 1, 2, 11, 22, 43, 86, 473, 946
258 : 1, 2, 3, 6, 43, 86, 129, 258
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,189,946,258,286, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
189:3x 3x 3x 7
946:2x 11x 43
258:2x 3x 43
286:2x 11x 13
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 11x 43 = 34056
Therefore, the value for common factors is 34056.
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 = 8944753433616/(1x34056)
LCM = 8944753433616/34056
LCM = 262648386
Thus, we can understand that the LCM of 678,189,946,258,286 is 262648386.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 678, 189, 946, 258, 286?
Answer: LCM of 678, 189, 946, 258, 286 is 262648386.
2. How to calculate the LCM of 678, 189, 946, 258, 286?
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 678, 189, 946, 258, 286.
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}.