Find the LCM of 436, 704, 946, 189 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 436, 704, 946, 189. So, keep reading to learn more.
Given numbers are 436,704,946,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 436,704,946,189 is 623633472.
Find LCM of 436,704,946,189 with Prime Factorization
2 | 436, 704, 946, 189 |
2 | 218, 352, 473, 189 |
11 | 109, 176, 473, 189 |
109, 16, 43, 189 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 109 x 16 x 43 x 189 = 623633472
Therefore, the lowest common multiple of 436,704,946,189 is 623633472.
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.
436 x 704 x 946 x 189 = 54879745536
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.
436 : 1, 2, 4, 109, 218, 436
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
946 : 1, 2, 11, 22, 43, 86, 473, 946
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 436,704,946,189, is 1.
Now, the common factors can be found like this.
436:2x 2x 109
704:2x 2x 2x 2x 2x 2x 11
946:2x 11x 43
189:3x 3x 3x 7
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 11 = 88
Therefore, the value for common factors is 88.
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 = 54879745536/(1x88)
LCM = 54879745536/88
LCM = 623633472
Thus, we can understand that the LCM of 436,704,946,189 is 623633472.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 436, 704, 946, 189?
Answer: LCM of 436, 704, 946, 189 is 623633472.
2. How to calculate the LCM of 436, 704, 946, 189?
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 436, 704, 946, 189.
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}.