Find the LCM of 482, 930, 899, 821, 975 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 482, 930, 899, 821, 975. So, keep reading to learn more.
Given numbers are 482,930,899,821,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 482,930,899,821,975 is 346860226050.
Find LCM of 482,930,899,821,975 with Prime Factorization
2 | 482, 930, 899, 821, 975 |
3 | 241, 465, 899, 821, 975 |
5 | 241, 155, 899, 821, 325 |
31 | 241, 31, 899, 821, 65 |
241, 1, 29, 821, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 31 x 241 x 1 x 29 x 821 x 65 = 346860226050
Therefore, the lowest common multiple of 482,930,899,821,975 is 346860226050.
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.
482 x 930 x 899 x 821 x 975 = 322580010226500
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.
482 : 1, 2, 241, 482
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
899 : 1, 29, 31, 899
821 : 1, 821
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,930,899,821,975, is 1.
Now, the common factors can be found like this.
482:2x 241
930:2x 3x 5x 31
899:29x 31
821:821
975:3x 5x 5x 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 3x 5x 31 = 930
Therefore, the value for common factors is 930.
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 = 322580010226500/(1x930)
LCM = 322580010226500/930
LCM = 346860226050
Thus, we can understand that the LCM of 482,930,899,821,975 is 346860226050.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 482, 930, 899, 821, 975?
Answer: LCM of 482, 930, 899, 821, 975 is 346860226050.
2. How to calculate the LCM of 482, 930, 899, 821, 975?
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 482, 930, 899, 821, 975.
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}.