Find the LCM of 563, 572, 377, 358, 325 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 563, 572, 377, 358, 325. So, keep reading to learn more.
Given numbers are 563,572,377,358,325
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,572,377,358,325 is 41792221900.
Find LCM of 563,572,377,358,325 with Prime Factorization
2 | 563, 572, 377, 358, 325 |
13 | 563, 286, 377, 179, 325 |
563, 22, 29, 179, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 563 x 22 x 29 x 179 x 25 = 41792221900
Therefore, the lowest common multiple of 563,572,377,358,325 is 41792221900.
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.
563 x 572 x 377 x 358 x 325 = 14125771002200
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.
563 : 1, 563
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
377 : 1, 13, 29, 377
358 : 1, 2, 179, 358
325 : 1, 5, 13, 25, 65, 325
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,572,377,358,325, is 1.
Now, the common factors can be found like this.
563:563
572:2x 2x 11x 13
377:13x 29
358:2x 179
325:5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 14125771002200/(1x338)
LCM = 14125771002200/338
LCM = 41792221900
Thus, we can understand that the LCM of 563,572,377,358,325 is 41792221900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 563, 572, 377, 358, 325?
Answer: LCM of 563, 572, 377, 358, 325 is 41792221900.
2. How to calculate the LCM of 563, 572, 377, 358, 325?
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 563, 572, 377, 358, 325.
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}.