Find the LCM of 304, 703, 925, 602, 604 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 304, 703, 925, 602, 604. So, keep reading to learn more.
Given numbers are 304,703,925,602,604
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,703,925,602,604 is 12780821200.
Find LCM of 304,703,925,602,604 with Prime Factorization
2 | 304, 703, 925, 602, 604 |
2 | 152, 703, 925, 301, 302 |
19 | 76, 703, 925, 301, 151 |
37 | 4, 37, 925, 301, 151 |
4, 1, 25, 301, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 37 x 4 x 1 x 25 x 301 x 151 = 12780821200
Therefore, the lowest common multiple of 304,703,925,602,604 is 12780821200.
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.
304 x 703 x 925 x 602 x 604 = 71879338428800
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
703 : 1, 19, 37, 703
925 : 1, 5, 25, 37, 185, 925
602 : 1, 2, 7, 14, 43, 86, 301, 602
604 : 1, 2, 4, 151, 302, 604
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,703,925,602,604, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
703:19x 37
925:5x 5x 37
602:2x 7x 43
604:2x 2x 151
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 19x 37 = 5624
Therefore, the value for common factors is 5624.
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 = 71879338428800/(1x5624)
LCM = 71879338428800/5624
LCM = 12780821200
Thus, we can understand that the LCM of 304,703,925,602,604 is 12780821200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 304, 703, 925, 602, 604?
Answer: LCM of 304, 703, 925, 602, 604 is 12780821200.
2. How to calculate the LCM of 304, 703, 925, 602, 604?
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 304, 703, 925, 602, 604.
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}.