LCM of 268, 814, 657, 629, 885
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 268, 814, 657, 629, 885 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 268, 814, 657, 629, 885. So, keep reading to learn more.
Given numbers are 268,814,657,629,885
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,814,657,629,885 is 359389603980.
Find LCM of 268,814,657,629,885 with Prime Factorization
| 2 | 268, 814, 657, 629, 885 |
| 3 | 134, 407, 657, 629, 885 |
| 37 | 134, 407, 219, 629, 295 |
| 134, 11, 219, 17, 295 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 134 x 11 x 219 x 17 x 295 = 359389603980
Therefore, the lowest common multiple of 268,814,657,629,885 is 359389603980.
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.
268 x 814 x 657 x 629 x 885 = 79784492083560
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.
268 : 1, 2, 4, 67, 134, 268
814 : 1, 2, 11, 22, 37, 74, 407, 814
657 : 1, 3, 9, 73, 219, 657
629 : 1, 17, 37, 629
885 : 1, 3, 5, 15, 59, 177, 295, 885
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,814,657,629,885, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
814:2x 11x 37
657:3x 3x 73
629:17x 37
885:3x 5x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 37 = 222
Therefore, the value for common factors is 222.
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 = 79784492083560/(1x222)
LCM = 79784492083560/222
LCM = 359389603980
Thus, we can understand that the LCM of 268,814,657,629,885 is 359389603980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 268, 814, 657, 629, 885
1. What is the LCM of 268, 814, 657, 629, 885?
Answer: LCM of 268, 814, 657, 629, 885 is 359389603980.
2. How to calculate the LCM of 268, 814, 657, 629, 885?
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 268, 814, 657, 629, 885.
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}.