Find the LCM of 565, 528, 869, 441, 378 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 565, 528, 869, 441, 378. So, keep reading to learn more.
Given numbers are 565,528,869,441,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,528,869,441,378 is 10393170480.
Find LCM of 565,528,869,441,378 with Prime Factorization
2 | 565, 528, 869, 441, 378 |
3 | 565, 264, 869, 441, 189 |
3 | 565, 88, 869, 147, 63 |
7 | 565, 88, 869, 49, 21 |
11 | 565, 88, 869, 7, 3 |
565, 8, 79, 7, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 11 x 565 x 8 x 79 x 7 x 3 = 10393170480
Therefore, the lowest common multiple of 565,528,869,441,378 is 10393170480.
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.
565 x 528 x 869 x 441 x 378 = 43214802855840
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.
565 : 1, 5, 113, 565
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
869 : 1, 11, 79, 869
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,528,869,441,378, is 1.
Now, the common factors can be found like this.
565:5x 113
528:2x 2x 2x 2x 3x 11
869:11x 79
441:3x 3x 7x 7
378:2x 3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 7x 11 = 4158
Therefore, the value for common factors is 4158.
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 = 43214802855840/(1x4158)
LCM = 43214802855840/4158
LCM = 10393170480
Thus, we can understand that the LCM of 565,528,869,441,378 is 10393170480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 565, 528, 869, 441, 378?
Answer: LCM of 565, 528, 869, 441, 378 is 10393170480.
2. How to calculate the LCM of 565, 528, 869, 441, 378?
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 565, 528, 869, 441, 378.
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}.