Find the LCM of 315, 111, 156, 740, 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 315, 111, 156, 740, 604. So, keep reading to learn more.
Given numbers are 315,111,156,740,604
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,111,156,740,604 is 91515060.
Find LCM of 315,111,156,740,604 with Prime Factorization
2 | 315, 111, 156, 740, 604 |
2 | 315, 111, 78, 370, 302 |
3 | 315, 111, 39, 185, 151 |
5 | 105, 37, 13, 185, 151 |
37 | 21, 37, 13, 37, 151 |
21, 1, 13, 1, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 37 x 21 x 1 x 13 x 1 x 151 = 91515060
Therefore, the lowest common multiple of 315,111,156,740,604 is 91515060.
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.
315 x 111 x 156 x 740 x 604 = 2437961198400
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
111 : 1, 3, 37, 111
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
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 315,111,156,740,604, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
111:3x 37
156:2x 2x 3x 13
740:2x 2x 5x 37
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 2x 3x 3x 5x 37 = 26640
Therefore, the value for common factors is 26640.
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 = 2437961198400/(1x26640)
LCM = 2437961198400/26640
LCM = 91515060
Thus, we can understand that the LCM of 315,111,156,740,604 is 91515060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 315, 111, 156, 740, 604?
Answer: LCM of 315, 111, 156, 740, 604 is 91515060.
2. How to calculate the LCM of 315, 111, 156, 740, 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 315, 111, 156, 740, 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}.