Find the LCM of 143, 109, 451, 418 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 143, 109, 451, 418. So, keep reading to learn more.
Given numbers are 143,109,451,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 143,109,451,418 is 24284546.
Find LCM of 143,109,451,418 with Prime Factorization
11 | 143, 109, 451, 418 |
13, 109, 41, 38 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 109 x 41 x 38 = 24284546
Therefore, the lowest common multiple of 143,109,451,418 is 24284546.
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.
143 x 109 x 451 x 418 = 2938430066
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.
143 : 1, 11, 13, 143
109 : 1, 109
451 : 1, 11, 41, 451
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,109,451,418, is 1.
Now, the common factors can be found like this.
143:11x 13
109:109
451:11x 41
418:2x 11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 2938430066/(1x121)
LCM = 2938430066/121
LCM = 24284546
Thus, we can understand that the LCM of 143,109,451,418 is 24284546.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 143, 109, 451, 418?
Answer: LCM of 143, 109, 451, 418 is 24284546.
2. How to calculate the LCM of 143, 109, 451, 418?
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 143, 109, 451, 418.
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}.