Find the LCM of 364, 642, 915, 366, 953 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 364, 642, 915, 366, 953. So, keep reading to learn more.
Given numbers are 364,642,915,366,953
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,642,915,366,953 is 33962461260.
Find LCM of 364,642,915,366,953 with Prime Factorization
2 | 364, 642, 915, 366, 953 |
3 | 182, 321, 915, 183, 953 |
61 | 182, 107, 305, 61, 953 |
182, 107, 5, 1, 953 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 61 x 182 x 107 x 5 x 1 x 953 = 33962461260
Therefore, the lowest common multiple of 364,642,915,366,953 is 33962461260.
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.
364 x 642 x 915 x 366 x 953 = 74581564926960
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.
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
642 : 1, 2, 3, 6, 107, 214, 321, 642
915 : 1, 3, 5, 15, 61, 183, 305, 915
366 : 1, 2, 3, 6, 61, 122, 183, 366
953 : 1, 953
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,642,915,366,953, is 1.
Now, the common factors can be found like this.
364:2x 2x 7x 13
642:2x 3x 107
915:3x 5x 61
366:2x 3x 61
953:953
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 3x 3x 61 = 2196
Therefore, the value for common factors is 2196.
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 = 74581564926960/(1x2196)
LCM = 74581564926960/2196
LCM = 33962461260
Thus, we can understand that the LCM of 364,642,915,366,953 is 33962461260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 364, 642, 915, 366, 953?
Answer: LCM of 364, 642, 915, 366, 953 is 33962461260.
2. How to calculate the LCM of 364, 642, 915, 366, 953?
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 364, 642, 915, 366, 953.
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}.