Find the LCM of 701, 418, 440, 407, 512 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 701, 418, 440, 407, 512. So, keep reading to learn more.
Given numbers are 701,418,440,407,512
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 701,418,440,407,512 is 13877332480.
Find LCM of 701,418,440,407,512 with Prime Factorization
2 | 701, 418, 440, 407, 512 |
2 | 701, 209, 220, 407, 256 |
2 | 701, 209, 110, 407, 128 |
11 | 701, 209, 55, 407, 64 |
701, 19, 5, 37, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 701 x 19 x 5 x 37 x 64 = 13877332480
Therefore, the lowest common multiple of 701,418,440,407,512 is 13877332480.
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.
701 x 418 x 440 x 407 x 512 = 26866515681280
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.
701 : 1, 701
418 : 1, 2, 11, 19, 22, 38, 209, 418
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
407 : 1, 11, 37, 407
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,418,440,407,512, is 1.
Now, the common factors can be found like this.
701:701
418:2x 11x 19
440:2x 2x 2x 5x 11
407:11x 37
512:2x 2x 2x 2x 2x 2x 2x 2x 2
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 11x 11 = 1936
Therefore, the value for common factors is 1936.
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 = 26866515681280/(1x1936)
LCM = 26866515681280/1936
LCM = 13877332480
Thus, we can understand that the LCM of 701,418,440,407,512 is 13877332480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 701, 418, 440, 407, 512?
Answer: LCM of 701, 418, 440, 407, 512 is 13877332480.
2. How to calculate the LCM of 701, 418, 440, 407, 512?
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 701, 418, 440, 407, 512.
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}.