Find the LCM of 418, 532, 592, 704 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, 532, 592, 704. So, keep reading to learn more.
Given numbers are 418,532,592,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,532,592,704 is 3464384.
Find LCM of 418,532,592,704 with Prime Factorization
2 | 418, 532, 592, 704 |
2 | 209, 266, 296, 352 |
2 | 209, 133, 148, 176 |
2 | 209, 133, 74, 88 |
11 | 209, 133, 37, 44 |
19 | 19, 133, 37, 4 |
1, 7, 37, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 19 x 1 x 7 x 37 x 4 = 3464384
Therefore, the lowest common multiple of 418,532,592,704 is 3464384.
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 532 x 592 x 704 = 92679200768
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
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,532,592,704, is 2.
Now, the common factors can be found like this.
418:2x 11x 19
532:2x 2x 7x 19
592:2x 2x 2x 2x 37
704:2x 2x 2x 2x 2x 2x 11
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 2x 2x 2x 11x 19 = 13376
Therefore, the value for common factors is 13376.
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 = 92679200768/(2x13376)
LCM = 92679200768/26752
LCM = 3464384
Thus, we can understand that the LCM of 418,532,592,704 is 3464384.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 418, 532, 592, 704?
Answer: LCM of 418, 532, 592, 704 is 3464384.
2. How to calculate the LCM of 418, 532, 592, 704?
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, 532, 592, 704.
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}.