LCM of 903, 461, 441, 826, 656
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 903, 461, 441, 826, 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 903, 461, 441, 826, 656. So, keep reading to learn more.
Given numbers are 903,461,441,826,656
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 903,461,441,826,656 is 338348161872.
Find LCM of 903,461,441,826,656 with Prime Factorization
| 2 | 903, 461, 441, 826, 656 |
| 3 | 903, 461, 441, 413, 328 |
| 7 | 301, 461, 147, 413, 328 |
| 43, 461, 21, 59, 328 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 43 x 461 x 21 x 59 x 328 = 338348161872
Therefore, the lowest common multiple of 903,461,441,826,656 is 338348161872.
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.
903 x 461 x 441 x 826 x 656 = 99474359590368
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.
903 : 1, 3, 7, 21, 43, 129, 301, 903
461 : 1, 461
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
826 : 1, 2, 7, 14, 59, 118, 413, 826
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 903,461,441,826,656, is 1.
Now, the common factors can be found like this.
903:3x 7x 43
461:461
441:3x 3x 7x 7
826:2x 7x 59
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 3x 7x 7 = 294
Therefore, the value for common factors is 294.
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 = 99474359590368/(1x294)
LCM = 99474359590368/294
LCM = 338348161872
Thus, we can understand that the LCM of 903,461,441,826,656 is 338348161872.
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FAQs on LCM of 903, 461, 441, 826, 656
1. What is the LCM of 903, 461, 441, 826, 656?
Answer: LCM of 903, 461, 441, 826, 656 is 338348161872.
2. How to calculate the LCM of 903, 461, 441, 826, 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 903, 461, 441, 826, 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}.