LCM of 902, 204, 418, 656
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 204, 418, 656 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 902, 204, 418, 656. So, keep reading to learn more.
Given numbers are 902,204,418,656
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,204,418,656 is 6992304.
Find LCM of 902,204,418,656 with Prime Factorization
| 2 | 902, 204, 418, 656 |
| 2 | 451, 102, 209, 328 |
| 11 | 451, 51, 209, 164 |
| 41 | 41, 51, 19, 164 |
| 1, 51, 19, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 41 x 1 x 51 x 19 x 4 = 6992304
Therefore, the lowest common multiple of 902,204,418,656 is 6992304.
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.
902 x 204 x 418 x 656 = 50456465664
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
418 : 1, 2, 11, 19, 22, 38, 209, 418
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,204,418,656, is 2.
Now, the common factors can be found like this.
902:2x 11x 41
204:2x 2x 3x 17
418:2x 11x 19
656:2x 2x 2x 2x 41
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 11x 41 = 3608
Therefore, the value for common factors is 3608.
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 = 50456465664/(2x3608)
LCM = 50456465664/7216
LCM = 6992304
Thus, we can understand that the LCM of 902,204,418,656 is 6992304.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 902, 204, 418, 656
1. What is the LCM of 902, 204, 418, 656?
Answer: LCM of 902, 204, 418, 656 is 6992304.
2. How to calculate the LCM of 902, 204, 418, 656?
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 902, 204, 418, 656.
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}.