Find the LCM of 356, 649, 682, 485, 930 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 356, 649, 682, 485, 930. So, keep reading to learn more.
Given numbers are 356,649,682,485,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 356,649,682,485,930 is 10421239620.
Find LCM of 356,649,682,485,930 with Prime Factorization
2 | 356, 649, 682, 485, 930 |
5 | 178, 649, 341, 485, 465 |
11 | 178, 649, 341, 97, 93 |
31 | 178, 59, 31, 97, 93 |
178, 59, 1, 97, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 31 x 178 x 59 x 1 x 97 x 3 = 10421239620
Therefore, the lowest common multiple of 356,649,682,485,930 is 10421239620.
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.
356 x 649 x 682 x 485 x 930 = 71072854208400
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.
356 : 1, 2, 4, 89, 178, 356
649 : 1, 11, 59, 649
682 : 1, 2, 11, 22, 31, 62, 341, 682
485 : 1, 5, 97, 485
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,649,682,485,930, is 1.
Now, the common factors can be found like this.
356:2x 2x 89
649:11x 59
682:2x 11x 31
485:5x 97
930:2x 3x 5x 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 2x 5x 11x 31 = 6820
Therefore, the value for common factors is 6820.
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 = 71072854208400/(1x6820)
LCM = 71072854208400/6820
LCM = 10421239620
Thus, we can understand that the LCM of 356,649,682,485,930 is 10421239620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 356, 649, 682, 485, 930?
Answer: LCM of 356, 649, 682, 485, 930 is 10421239620.
2. How to calculate the LCM of 356, 649, 682, 485, 930?
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 356, 649, 682, 485, 930.
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}.