Find the LCM of 677, 578, 438, 469, 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 677, 578, 438, 469, 953. So, keep reading to learn more.
Given numbers are 677,578,438,469,953
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 677,578,438,469,953 is 38302433329398.
Find LCM of 677,578,438,469,953 with Prime Factorization
2 | 677, 578, 438, 469, 953 |
677, 289, 219, 469, 953 |
Multiply the prime numbers at the bottom and the left side.
2 x 677 x 289 x 219 x 469 x 953 = 38302433329398
Therefore, the lowest common multiple of 677,578,438,469,953 is 38302433329398.
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.
677 x 578 x 438 x 469 x 953 = 76604866658796
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.
677 : 1, 677
578 : 1, 2, 17, 34, 289, 578
438 : 1, 2, 3, 6, 73, 146, 219, 438
469 : 1, 7, 67, 469
953 : 1, 953
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,578,438,469,953, is 1.
Now, the common factors can be found like this.
677:677
578:2x 17x 17
438:2x 3x 73
469:7x 67
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.
2 = 2
Therefore, the value for common factors is 2.
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 = 76604866658796/(1x2)
LCM = 76604866658796/2
LCM = 38302433329398
Thus, we can understand that the LCM of 677,578,438,469,953 is 38302433329398.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 677, 578, 438, 469, 953?
Answer: LCM of 677, 578, 438, 469, 953 is 38302433329398.
2. How to calculate the LCM of 677, 578, 438, 469, 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 677, 578, 438, 469, 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}.