Find the LCM of 296, 286, 798, 541, 665 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 296, 286, 798, 541, 665. So, keep reading to learn more.
Given numbers are 296,286,798,541,665
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 296,286,798,541,665 is 45684398760.
Find LCM of 296,286,798,541,665 with Prime Factorization
2 | 296, 286, 798, 541, 665 |
7 | 148, 143, 399, 541, 665 |
19 | 148, 143, 57, 541, 95 |
148, 143, 3, 541, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 148 x 143 x 3 x 541 x 5 = 45684398760
Therefore, the lowest common multiple of 296,286,798,541,665 is 45684398760.
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.
296 x 286 x 798 x 541 x 665 = 24304100140320
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.
296 : 1, 2, 4, 8, 37, 74, 148, 296
286 : 1, 2, 11, 13, 22, 26, 143, 286
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
541 : 1, 541
665 : 1, 5, 7, 19, 35, 95, 133, 665
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,286,798,541,665, is 1.
Now, the common factors can be found like this.
296:2x 2x 2x 37
286:2x 11x 13
798:2x 3x 7x 19
541:541
665:5x 7x 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 7x 19 = 532
Therefore, the value for common factors is 532.
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 = 24304100140320/(1x532)
LCM = 24304100140320/532
LCM = 45684398760
Thus, we can understand that the LCM of 296,286,798,541,665 is 45684398760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 296, 286, 798, 541, 665?
Answer: LCM of 296, 286, 798, 541, 665 is 45684398760.
2. How to calculate the LCM of 296, 286, 798, 541, 665?
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 296, 286, 798, 541, 665.
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}.