Find the LCM of 187, 924, 910, 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 187, 924, 910, 604. So, keep reading to learn more.
Given numbers are 187,924,910,604
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,924,910,604 is 154174020.
Find LCM of 187,924,910,604 with Prime Factorization
2 | 187, 924, 910, 604 |
2 | 187, 462, 455, 302 |
7 | 187, 231, 455, 151 |
11 | 187, 33, 65, 151 |
17, 3, 65, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 17 x 3 x 65 x 151 = 154174020
Therefore, the lowest common multiple of 187,924,910,604 is 154174020.
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.
187 x 924 x 910 x 604 = 94971196320
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.
187 : 1, 11, 17, 187
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
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 187,924,910,604, is 1.
Now, the common factors can be found like this.
187:11x 17
924:2x 2x 3x 7x 11
910:2x 5x 7x 13
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 7x 11 = 616
Therefore, the value for common factors is 616.
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 = 94971196320/(1x616)
LCM = 94971196320/616
LCM = 154174020
Thus, we can understand that the LCM of 187,924,910,604 is 154174020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 187, 924, 910, 604?
Answer: LCM of 187, 924, 910, 604 is 154174020.
2. How to calculate the LCM of 187, 924, 910, 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 187, 924, 910, 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}.