Find the LCM of 364, 570, 959, 685, 661 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, 570, 959, 685, 661. So, keep reading to learn more.
Given numbers are 364,570,959,685,661
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,570,959,685,661 is 9394383180.
Find LCM of 364,570,959,685,661 with Prime Factorization
2 | 364, 570, 959, 685, 661 |
5 | 182, 285, 959, 685, 661 |
7 | 182, 57, 959, 137, 661 |
137 | 26, 57, 137, 137, 661 |
26, 57, 1, 1, 661 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 137 x 26 x 57 x 1 x 1 x 661 = 9394383180
Therefore, the lowest common multiple of 364,570,959,685,661 is 9394383180.
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 570 x 959 x 685 x 661 = 90092134696200
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
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
959 : 1, 7, 137, 959
685 : 1, 5, 137, 685
661 : 1, 661
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,570,959,685,661, is 1.
Now, the common factors can be found like this.
364:2x 2x 7x 13
570:2x 3x 5x 19
959:7x 137
685:5x 137
661:661
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 137 = 9590
Therefore, the value for common factors is 9590.
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 = 90092134696200/(1x9590)
LCM = 90092134696200/9590
LCM = 9394383180
Thus, we can understand that the LCM of 364,570,959,685,661 is 9394383180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 364, 570, 959, 685, 661?
Answer: LCM of 364, 570, 959, 685, 661 is 9394383180.
2. How to calculate the LCM of 364, 570, 959, 685, 661?
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, 570, 959, 685, 661.
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}.