Find the LCM of 677, 623, 121, 431, 143 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, 623, 121, 431, 143. So, keep reading to learn more.
Given numbers are 677,623,121,431,143
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 677,623,121,431,143 is 285945132473.
Find LCM of 677,623,121,431,143 with Prime Factorization
11 | 677, 623, 121, 431, 143 |
677, 623, 11, 431, 13 |
Multiply the prime numbers at the bottom and the left side.
11 x 677 x 623 x 11 x 431 x 13 = 285945132473
Therefore, the lowest common multiple of 677,623,121,431,143 is 285945132473.
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 623 x 121 x 431 x 143 = 3145396457203
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
623 : 1, 7, 89, 623
121 : 1, 11, 121
431 : 1, 431
143 : 1, 11, 13, 143
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,623,121,431,143, is 1.
Now, the common factors can be found like this.
677:677
623:7x 89
121:11x 11
431:431
143:11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 3145396457203/(1x11)
LCM = 3145396457203/11
LCM = 285945132473
Thus, we can understand that the LCM of 677,623,121,431,143 is 285945132473.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 677, 623, 121, 431, 143?
Answer: LCM of 677, 623, 121, 431, 143 is 285945132473.
2. How to calculate the LCM of 677, 623, 121, 431, 143?
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, 623, 121, 431, 143.
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}.