Find the LCM of 352, 214, 785, 993, 671 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 352, 214, 785, 993, 671. So, keep reading to learn more.
Given numbers are 352,214,785,993,671
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 352,214,785,993,671 is 1790915855520.
Find LCM of 352,214,785,993,671 with Prime Factorization
2 | 352, 214, 785, 993, 671 |
11 | 176, 107, 785, 993, 671 |
16, 107, 785, 993, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 16 x 107 x 785 x 993 x 61 = 1790915855520
Therefore, the lowest common multiple of 352,214,785,993,671 is 1790915855520.
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.
352 x 214 x 785 x 993 x 671 = 39400148821440
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.
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
214 : 1, 2, 107, 214
785 : 1, 5, 157, 785
993 : 1, 3, 331, 993
671 : 1, 11, 61, 671
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,214,785,993,671, is 1.
Now, the common factors can be found like this.
352:2x 2x 2x 2x 2x 11
214:2x 107
785:5x 157
993:3x 331
671:11x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 39400148821440/(1x22)
LCM = 39400148821440/22
LCM = 1790915855520
Thus, we can understand that the LCM of 352,214,785,993,671 is 1790915855520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 352, 214, 785, 993, 671?
Answer: LCM of 352, 214, 785, 993, 671 is 1790915855520.
2. How to calculate the LCM of 352, 214, 785, 993, 671?
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 352, 214, 785, 993, 671.
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}.