Find the LCM of 676, 528, 289, 404, 977 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 676, 528, 289, 404, 977. So, keep reading to learn more.
Given numbers are 676,528,289,404,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,528,289,404,977 is 2544687212496.
Find LCM of 676,528,289,404,977 with Prime Factorization
2 | 676, 528, 289, 404, 977 |
2 | 338, 264, 289, 202, 977 |
169, 132, 289, 101, 977 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 169 x 132 x 289 x 101 x 977 = 2544687212496
Therefore, the lowest common multiple of 676,528,289,404,977 is 2544687212496.
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.
676 x 528 x 289 x 404 x 977 = 40714995399936
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
289 : 1, 17, 289
404 : 1, 2, 4, 101, 202, 404
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,528,289,404,977, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
528:2x 2x 2x 2x 3x 11
289:17x 17
404:2x 2x 101
977:977
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 2 = 16
Therefore, the value for common factors is 16.
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 = 40714995399936/(1x16)
LCM = 40714995399936/16
LCM = 2544687212496
Thus, we can understand that the LCM of 676,528,289,404,977 is 2544687212496.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 676, 528, 289, 404, 977?
Answer: LCM of 676, 528, 289, 404, 977 is 2544687212496.
2. How to calculate the LCM of 676, 528, 289, 404, 977?
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 676, 528, 289, 404, 977.
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}.