Find the LCM of 428, 288, 414, 346 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 428, 288, 414, 346. So, keep reading to learn more.
Given numbers are 428,288,414,346
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,288,414,346 is 122616864.
Find LCM of 428,288,414,346 with Prime Factorization
2 | 428, 288, 414, 346 |
2 | 214, 144, 207, 173 |
3 | 107, 72, 207, 173 |
3 | 107, 24, 69, 173 |
107, 8, 23, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 107 x 8 x 23 x 173 = 122616864
Therefore, the lowest common multiple of 428,288,414,346 is 122616864.
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.
428 x 288 x 414 x 346 = 17656828416
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.
428 : 1, 2, 4, 107, 214, 428
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
346 : 1, 2, 173, 346
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,288,414,346, is 2.
Now, the common factors can be found like this.
428:2x 2x 107
288:2x 2x 2x 2x 2x 3x 3
414:2x 3x 3x 23
346:2x 173
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 3 = 72
Therefore, the value for common factors is 72.
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 = 17656828416/(2x72)
LCM = 17656828416/144
LCM = 122616864
Thus, we can understand that the LCM of 428,288,414,346 is 122616864.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 428, 288, 414, 346?
Answer: LCM of 428, 288, 414, 346 is 122616864.
2. How to calculate the LCM of 428, 288, 414, 346?
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 428, 288, 414, 346.
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}.