Find the LCM of 321, 458, 476, 775, 607 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 321, 458, 476, 775, 607. So, keep reading to learn more.
Given numbers are 321,458,476,775,607
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,458,476,775,607 is 16460304350700.
Find LCM of 321,458,476,775,607 with Prime Factorization
2 | 321, 458, 476, 775, 607 |
321, 229, 238, 775, 607 |
Multiply the prime numbers at the bottom and the left side.
2 x 321 x 229 x 238 x 775 x 607 = 16460304350700
Therefore, the lowest common multiple of 321,458,476,775,607 is 16460304350700.
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.
321 x 458 x 476 x 775 x 607 = 32920608701400
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.
321 : 1, 3, 107, 321
458 : 1, 2, 229, 458
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
775 : 1, 5, 25, 31, 155, 775
607 : 1, 607
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,458,476,775,607, is 1.
Now, the common factors can be found like this.
321:3x 107
458:2x 229
476:2x 2x 7x 17
775:5x 5x 31
607:607
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 = 32920608701400/(1x2)
LCM = 32920608701400/2
LCM = 16460304350700
Thus, we can understand that the LCM of 321,458,476,775,607 is 16460304350700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 321, 458, 476, 775, 607?
Answer: LCM of 321, 458, 476, 775, 607 is 16460304350700.
2. How to calculate the LCM of 321, 458, 476, 775, 607?
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 321, 458, 476, 775, 607.
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}.