Find the LCM of 429, 818, 880, 318, 818 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 429, 818, 880, 318, 818. So, keep reading to learn more.
Given numbers are 429,818,880,318,818
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,818,880,318,818 is 743954640.
Find LCM of 429,818,880,318,818 with Prime Factorization
2 | 429, 818, 880, 318, 818 |
3 | 429, 409, 440, 159, 409 |
11 | 143, 409, 440, 53, 409 |
409 | 13, 409, 40, 53, 409 |
13, 1, 40, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 409 x 13 x 1 x 40 x 53 x 1 = 743954640
Therefore, the lowest common multiple of 429,818,880,318,818 is 743954640.
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.
429 x 818 x 880 x 318 x 818 = 80329246208640
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
818 : 1, 2, 409, 818
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
318 : 1, 2, 3, 6, 53, 106, 159, 318
818 : 1, 2, 409, 818
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,818,880,318,818, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
818:2x 409
880:2x 2x 2x 2x 5x 11
318:2x 3x 53
818:2x 409
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 11x 409 = 107976
Therefore, the value for common factors is 107976.
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 = 80329246208640/(1x107976)
LCM = 80329246208640/107976
LCM = 743954640
Thus, we can understand that the LCM of 429,818,880,318,818 is 743954640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 429, 818, 880, 318, 818?
Answer: LCM of 429, 818, 880, 318, 818 is 743954640.
2. How to calculate the LCM of 429, 818, 880, 318, 818?
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 429, 818, 880, 318, 818.
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}.