Find the LCM of 665, 119, 588, 824, 912 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 665, 119, 588, 824, 912. So, keep reading to learn more.
Given numbers are 665,119,588,824,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 665,119,588,824,912 is 391243440.
Find LCM of 665,119,588,824,912 with Prime Factorization
2 | 665, 119, 588, 824, 912 |
2 | 665, 119, 294, 412, 456 |
2 | 665, 119, 147, 206, 228 |
3 | 665, 119, 147, 103, 114 |
7 | 665, 119, 49, 103, 38 |
19 | 95, 17, 7, 103, 38 |
5, 17, 7, 103, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 19 x 5 x 17 x 7 x 103 x 2 = 391243440
Therefore, the lowest common multiple of 665,119,588,824,912 is 391243440.
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.
665 x 119 x 588 x 824 x 912 = 34967773693440
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.
665 : 1, 5, 7, 19, 35, 95, 133, 665
119 : 1, 7, 17, 119
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
824 : 1, 2, 4, 8, 103, 206, 412, 824
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 665,119,588,824,912, is 1.
Now, the common factors can be found like this.
665:5x 7x 19
119:7x 17
588:2x 2x 3x 7x 7
824:2x 2x 2x 103
912:2x 2x 2x 2x 3x 19
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 2x 3x 7x 7x 19 = 89376
Therefore, the value for common factors is 89376.
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 = 34967773693440/(1x89376)
LCM = 34967773693440/89376
LCM = 391243440
Thus, we can understand that the LCM of 665,119,588,824,912 is 391243440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 665, 119, 588, 824, 912?
Answer: LCM of 665, 119, 588, 824, 912 is 391243440.
2. How to calculate the LCM of 665, 119, 588, 824, 912?
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 665, 119, 588, 824, 912.
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}.