Find the LCM of 329, 958, 320, 558 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 329, 958, 320, 558. So, keep reading to learn more.
Given numbers are 329,958,320,558
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 329,958,320,558 is 14069724480.
Find LCM of 329,958,320,558 with Prime Factorization
2 | 329, 958, 320, 558 |
329, 479, 160, 279 |
Multiply the prime numbers at the bottom and the left side.
2 x 329 x 479 x 160 x 279 = 14069724480
Therefore, the lowest common multiple of 329,958,320,558 is 14069724480.
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.
329 x 958 x 320 x 558 = 56278897920
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.
329 : 1, 7, 47, 329
958 : 1, 2, 479, 958
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,958,320,558, is 1.
Now, the common factors can be found like this.
329:7x 47
958:2x 479
320:2x 2x 2x 2x 2x 2x 5
558:2x 3x 3x 31
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 = 56278897920/(1x4)
LCM = 56278897920/4
LCM = 14069724480
Thus, we can understand that the LCM of 329,958,320,558 is 14069724480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 329, 958, 320, 558?
Answer: LCM of 329, 958, 320, 558 is 14069724480.
2. How to calculate the LCM of 329, 958, 320, 558?
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 329, 958, 320, 558.
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}.