Find the LCM of 558, 966, 930, 341, 730 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 558, 966, 930, 341, 730. So, keep reading to learn more.
Given numbers are 558,966,930,341,730
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,966,930,341,730 is 360699570.
Find LCM of 558,966,930,341,730 with Prime Factorization
2 | 558, 966, 930, 341, 730 |
3 | 279, 483, 465, 341, 365 |
5 | 93, 161, 155, 341, 365 |
31 | 93, 161, 31, 341, 73 |
3, 161, 1, 11, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 31 x 3 x 161 x 1 x 11 x 73 = 360699570
Therefore, the lowest common multiple of 558,966,930,341,730 is 360699570.
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.
558 x 966 x 930 x 341 x 730 = 124787623237200
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
341 : 1, 11, 31, 341
730 : 1, 2, 5, 10, 73, 146, 365, 730
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,966,930,341,730, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
966:2x 3x 7x 23
930:2x 3x 5x 31
341:11x 31
730:2x 5x 73
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 3x 5x 31x 31 = 345960
Therefore, the value for common factors is 345960.
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 = 124787623237200/(1x345960)
LCM = 124787623237200/345960
LCM = 360699570
Thus, we can understand that the LCM of 558,966,930,341,730 is 360699570.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 558, 966, 930, 341, 730?
Answer: LCM of 558, 966, 930, 341, 730 is 360699570.
2. How to calculate the LCM of 558, 966, 930, 341, 730?
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 558, 966, 930, 341, 730.
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}.