Find the LCM of 169, 517, 429, 451 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 169, 517, 429, 451. So, keep reading to learn more.
Given numbers are 169,517,429,451
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,517,429,451 is 10746879.
Find LCM of 169,517,429,451 with Prime Factorization
11 | 169, 517, 429, 451 |
13 | 169, 47, 39, 41 |
13, 47, 3, 41 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 13 x 47 x 3 x 41 = 10746879
Therefore, the lowest common multiple of 169,517,429,451 is 10746879.
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.
169 x 517 x 429 x 451 = 16904840667
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.
169 : 1, 13, 169
517 : 1, 11, 47, 517
429 : 1, 3, 11, 13, 33, 39, 143, 429
451 : 1, 11, 41, 451
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,517,429,451, is 1.
Now, the common factors can be found like this.
169:13x 13
517:11x 47
429:3x 11x 13
451:11x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11x 13 = 1573
Therefore, the value for common factors is 1573.
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 = 16904840667/(1x1573)
LCM = 16904840667/1573
LCM = 10746879
Thus, we can understand that the LCM of 169,517,429,451 is 10746879.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 169, 517, 429, 451?
Answer: LCM of 169, 517, 429, 451 is 10746879.
2. How to calculate the LCM of 169, 517, 429, 451?
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 169, 517, 429, 451.
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}.