LCM of 257, 418, 636, 649, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 257, 418, 636, 649, 912 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 257, 418, 636, 649, 912. So, keep reading to learn more.
Given numbers are 257,418,636,649,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 257,418,636,649,912 is 8062106448.
Find LCM of 257,418,636,649,912 with Prime Factorization
| 2 | 257, 418, 636, 649, 912 |
| 2 | 257, 209, 318, 649, 456 |
| 3 | 257, 209, 159, 649, 228 |
| 11 | 257, 209, 53, 649, 76 |
| 19 | 257, 19, 53, 59, 76 |
| 257, 1, 53, 59, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 19 x 257 x 1 x 53 x 59 x 4 = 8062106448
Therefore, the lowest common multiple of 257,418,636,649,912 is 8062106448.
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.
257 x 418 x 636 x 649 x 912 = 40439525943168
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.
257 : 1, 257
418 : 1, 2, 11, 19, 22, 38, 209, 418
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
649 : 1, 11, 59, 649
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,418,636,649,912, is 1.
Now, the common factors can be found like this.
257:257
418:2x 11x 19
636:2x 2x 3x 53
649:11x 59
912:2x 2x 2x 2x 3x 19
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 2x 3x 11x 19 = 5016
Therefore, the value for common factors is 5016.
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 = 40439525943168/(1x5016)
LCM = 40439525943168/5016
LCM = 8062106448
Thus, we can understand that the LCM of 257,418,636,649,912 is 8062106448.
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FAQs on LCM of 257, 418, 636, 649, 912
1. What is the LCM of 257, 418, 636, 649, 912?
Answer: LCM of 257, 418, 636, 649, 912 is 8062106448.
2. How to calculate the LCM of 257, 418, 636, 649, 912?
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 257, 418, 636, 649, 912.
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}.