LCM of 207, 616, 627, 164, 903
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 207, 616, 627, 164, 903 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 207, 616, 627, 164, 903. So, keep reading to learn more.
Given numbers are 207,616,627,164,903
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 207,616,627,164,903 is 4271269464.
Find LCM of 207,616,627,164,903 with Prime Factorization
| 2 | 207, 616, 627, 164, 903 |
| 2 | 207, 308, 627, 82, 903 |
| 3 | 207, 154, 627, 41, 903 |
| 7 | 69, 154, 209, 41, 301 |
| 11 | 69, 22, 209, 41, 43 |
| 69, 2, 19, 41, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 69 x 2 x 19 x 41 x 43 = 4271269464
Therefore, the lowest common multiple of 207,616,627,164,903 is 4271269464.
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.
207 x 616 x 627 x 164 x 903 = 11839958954208
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.
207 : 1, 3, 9, 23, 69, 207
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
627 : 1, 3, 11, 19, 33, 57, 209, 627
164 : 1, 2, 4, 41, 82, 164
903 : 1, 3, 7, 21, 43, 129, 301, 903
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 207,616,627,164,903, is 1.
Now, the common factors can be found like this.
207:3x 3x 23
616:2x 2x 2x 7x 11
627:3x 11x 19
164:2x 2x 41
903:3x 7x 43
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 3x 3x 7x 11 = 2772
Therefore, the value for common factors is 2772.
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 = 11839958954208/(1x2772)
LCM = 11839958954208/2772
LCM = 4271269464
Thus, we can understand that the LCM of 207,616,627,164,903 is 4271269464.
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FAQs on LCM of 207, 616, 627, 164, 903
1. What is the LCM of 207, 616, 627, 164, 903?
Answer: LCM of 207, 616, 627, 164, 903 is 4271269464.
2. How to calculate the LCM of 207, 616, 627, 164, 903?
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 207, 616, 627, 164, 903.
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}.