Find the LCM of 433, 113, 897, 178, 715 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 433, 113, 897, 178, 715. So, keep reading to learn more.
Given numbers are 433,113,897,178,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 433,113,897,178,715 is 429676374270.
Find LCM of 433,113,897,178,715 with Prime Factorization
13 | 433, 113, 897, 178, 715 |
433, 113, 69, 178, 55 |
Multiply the prime numbers at the bottom and the left side.
13 x 433 x 113 x 69 x 178 x 55 = 429676374270
Therefore, the lowest common multiple of 433,113,897,178,715 is 429676374270.
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.
433 x 113 x 897 x 178 x 715 = 5585792865510
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.
433 : 1, 433
113 : 1, 113
897 : 1, 3, 13, 23, 39, 69, 299, 897
178 : 1, 2, 89, 178
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,113,897,178,715, is 1.
Now, the common factors can be found like this.
433:433
113:113
897:3x 13x 23
178:2x 89
715:5x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 5585792865510/(1x13)
LCM = 5585792865510/13
LCM = 429676374270
Thus, we can understand that the LCM of 433,113,897,178,715 is 429676374270.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 433, 113, 897, 178, 715?
Answer: LCM of 433, 113, 897, 178, 715 is 429676374270.
2. How to calculate the LCM of 433, 113, 897, 178, 715?
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 433, 113, 897, 178, 715.
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}.