LCM of 214, 429, 165, 949, 555
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 214, 429, 165, 949, 555 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 214, 429, 165, 949, 555. So, keep reading to learn more.
Given numbers are 214,429,165,949,555
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 214,429,165,949,555 is 1239840030.
Find LCM of 214,429,165,949,555 with Prime Factorization
| 3 | 214, 429, 165, 949, 555 |
| 5 | 214, 143, 55, 949, 185 |
| 11 | 214, 143, 11, 949, 37 |
| 13 | 214, 13, 1, 949, 37 |
| 214, 1, 1, 73, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 13 x 214 x 1 x 1 x 73 x 37 = 1239840030
Therefore, the lowest common multiple of 214,429,165,949,555 is 1239840030.
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.
214 x 429 x 165 x 949 x 555 = 7978370593050
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.
214 : 1, 2, 107, 214
429 : 1, 3, 11, 13, 33, 39, 143, 429
165 : 1, 3, 5, 11, 15, 33, 55, 165
949 : 1, 13, 73, 949
555 : 1, 3, 5, 15, 37, 111, 185, 555
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,429,165,949,555, is 1.
Now, the common factors can be found like this.
214:2x 107
429:3x 11x 13
165:3x 5x 11
949:13x 73
555:3x 5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 11x 13 = 6435
Therefore, the value for common factors is 6435.
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 = 7978370593050/(1x6435)
LCM = 7978370593050/6435
LCM = 1239840030
Thus, we can understand that the LCM of 214,429,165,949,555 is 1239840030.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 214, 429, 165, 949, 555
1. What is the LCM of 214, 429, 165, 949, 555?
Answer: LCM of 214, 429, 165, 949, 555 is 1239840030.
2. How to calculate the LCM of 214, 429, 165, 949, 555?
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 214, 429, 165, 949, 555.
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}.