Find the LCM of 439, 946, 318, 343, 500 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 439, 946, 318, 343, 500. So, keep reading to learn more.
Given numbers are 439,946,318,343,500
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 439,946,318,343,500 is 5662222219500.
Find LCM of 439,946,318,343,500 with Prime Factorization
2 | 439, 946, 318, 343, 500 |
439, 473, 159, 343, 250 |
Multiply the prime numbers at the bottom and the left side.
2 x 439 x 473 x 159 x 343 x 250 = 5662222219500
Therefore, the lowest common multiple of 439,946,318,343,500 is 5662222219500.
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.
439 x 946 x 318 x 343 x 500 = 22648888878000
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.
439 : 1, 439
946 : 1, 2, 11, 22, 43, 86, 473, 946
318 : 1, 2, 3, 6, 53, 106, 159, 318
343 : 1, 7, 49, 343
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,946,318,343,500, is 1.
Now, the common factors can be found like this.
439:439
946:2x 11x 43
318:2x 3x 53
343:7x 7x 7
500:2x 2x 5x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 22648888878000/(1x4)
LCM = 22648888878000/4
LCM = 5662222219500
Thus, we can understand that the LCM of 439,946,318,343,500 is 5662222219500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 439, 946, 318, 343, 500?
Answer: LCM of 439, 946, 318, 343, 500 is 5662222219500.
2. How to calculate the LCM of 439, 946, 318, 343, 500?
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 439, 946, 318, 343, 500.
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}.