Find the LCM of 363, 664, 588, 510, 770 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 363, 664, 588, 510, 770. So, keep reading to learn more.
Given numbers are 363,664,588,510,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,664,588,510,770 is 1003898280.
Find LCM of 363,664,588,510,770 with Prime Factorization
2 | 363, 664, 588, 510, 770 |
2 | 363, 332, 294, 255, 385 |
3 | 363, 166, 147, 255, 385 |
5 | 121, 166, 49, 85, 385 |
7 | 121, 166, 49, 17, 77 |
11 | 121, 166, 7, 17, 11 |
1, 166, 7, 17, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 11 x 1 x 166 x 7 x 17 x 11 = 1003898280
Therefore, the lowest common multiple of 363,664,588,510,770 is 1003898280.
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.
363 x 664 x 588 x 510 x 770 = 55656120643200
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.
363 : 1, 3, 11, 33, 121, 363
664 : 1, 2, 4, 8, 83, 166, 332, 664
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,664,588,510,770, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
664:2x 2x 2x 83
588:2x 2x 3x 7x 7
510:2x 3x 5x 17
770:2x 5x 7x 11
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 3x 3x 5x 7x 11 = 55440
Therefore, the value for common factors is 55440.
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 = 55656120643200/(1x55440)
LCM = 55656120643200/55440
LCM = 1003898280
Thus, we can understand that the LCM of 363,664,588,510,770 is 1003898280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 363, 664, 588, 510, 770?
Answer: LCM of 363, 664, 588, 510, 770 is 1003898280.
2. How to calculate the LCM of 363, 664, 588, 510, 770?
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 363, 664, 588, 510, 770.
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}.