Find the LCM of 904, 728, 507, 541, 598 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 904, 728, 507, 541, 598. So, keep reading to learn more.
Given numbers are 904,728,507,541,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,728,507,541,598 is 39920827128.
Find LCM of 904,728,507,541,598 with Prime Factorization
2 | 904, 728, 507, 541, 598 |
2 | 452, 364, 507, 541, 299 |
2 | 226, 182, 507, 541, 299 |
13 | 113, 91, 507, 541, 299 |
113, 7, 39, 541, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 113 x 7 x 39 x 541 x 23 = 39920827128
Therefore, the lowest common multiple of 904,728,507,541,598 is 39920827128.
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.
904 x 728 x 507 x 541 x 598 = 107945916554112
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
507 : 1, 3, 13, 39, 169, 507
541 : 1, 541
598 : 1, 2, 13, 23, 26, 46, 299, 598
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,728,507,541,598, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
728:2x 2x 2x 7x 13
507:3x 13x 13
541:541
598:2x 13x 23
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 13x 13 = 2704
Therefore, the value for common factors is 2704.
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 = 107945916554112/(1x2704)
LCM = 107945916554112/2704
LCM = 39920827128
Thus, we can understand that the LCM of 904,728,507,541,598 is 39920827128.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 904, 728, 507, 541, 598?
Answer: LCM of 904, 728, 507, 541, 598 is 39920827128.
2. How to calculate the LCM of 904, 728, 507, 541, 598?
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 904, 728, 507, 541, 598.
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}.