Find the LCM of 579, 975, 218, 554, 338 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 579, 975, 218, 554, 338. So, keep reading to learn more.
Given numbers are 579,975,218,554,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 579,975,218,554,338 is 147720762150.
Find LCM of 579,975,218,554,338 with Prime Factorization
2 | 579, 975, 218, 554, 338 |
3 | 579, 975, 109, 277, 169 |
13 | 193, 325, 109, 277, 169 |
193, 25, 109, 277, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 193 x 25 x 109 x 277 x 13 = 147720762150
Therefore, the lowest common multiple of 579,975,218,554,338 is 147720762150.
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.
579 x 975 x 218 x 554 x 338 = 23044438895400
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.
579 : 1, 3, 193, 579
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
218 : 1, 2, 109, 218
554 : 1, 2, 277, 554
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,975,218,554,338, is 1.
Now, the common factors can be found like this.
579:3x 193
975:3x 5x 5x 13
218:2x 109
554:2x 277
338:2x 13x 13
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 23044438895400/(1x156)
LCM = 23044438895400/156
LCM = 147720762150
Thus, we can understand that the LCM of 579,975,218,554,338 is 147720762150.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 579, 975, 218, 554, 338?
Answer: LCM of 579, 975, 218, 554, 338 is 147720762150.
2. How to calculate the LCM of 579, 975, 218, 554, 338?
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 579, 975, 218, 554, 338.
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}.