Find the LCM of 418, 267, 346, 664 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 418, 267, 346, 664. So, keep reading to learn more.
Given numbers are 418,267,346,664
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,267,346,664 is 6410202216.
Find LCM of 418,267,346,664 with Prime Factorization
2 | 418, 267, 346, 664 |
209, 267, 173, 332 |
Multiply the prime numbers at the bottom and the left side.
2 x 209 x 267 x 173 x 332 = 6410202216
Therefore, the lowest common multiple of 418,267,346,664 is 6410202216.
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.
418 x 267 x 346 x 664 = 25640808864
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
267 : 1, 3, 89, 267
346 : 1, 2, 173, 346
664 : 1, 2, 4, 8, 83, 166, 332, 664
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,267,346,664, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
267:3x 89
346:2x 173
664:2x 2x 2x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 25640808864/(1x4)
LCM = 25640808864/4
LCM = 6410202216
Thus, we can understand that the LCM of 418,267,346,664 is 6410202216.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 418, 267, 346, 664?
Answer: LCM of 418, 267, 346, 664 is 6410202216.
2. How to calculate the LCM of 418, 267, 346, 664?
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 418, 267, 346, 664.
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}.