Find the LCM of 934, 888, 407, 728 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 934, 888, 407, 728. So, keep reading to learn more.
Given numbers are 934,888,407,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 934,888,407,728 is 415110696.
Find LCM of 934,888,407,728 with Prime Factorization
2 | 934, 888, 407, 728 |
2 | 467, 444, 407, 364 |
2 | 467, 222, 407, 182 |
37 | 467, 111, 407, 91 |
467, 3, 11, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 37 x 467 x 3 x 11 x 91 = 415110696
Therefore, the lowest common multiple of 934,888,407,728 is 415110696.
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.
934 x 888 x 407 x 728 = 245745532032
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.
934 : 1, 2, 467, 934
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
407 : 1, 11, 37, 407
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 934,888,407,728, is 1.
Now, the common factors can be found like this.
934:2x 467
888:2x 2x 2x 3x 37
407:11x 37
728:2x 2x 2x 7x 13
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 37 = 592
Therefore, the value for common factors is 592.
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 = 245745532032/(1x592)
LCM = 245745532032/592
LCM = 415110696
Thus, we can understand that the LCM of 934,888,407,728 is 415110696.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 934, 888, 407, 728?
Answer: LCM of 934, 888, 407, 728 is 415110696.
2. How to calculate the LCM of 934, 888, 407, 728?
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 934, 888, 407, 728.
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}.