LCM of 403, 441, 558, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 441, 558, 905 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 403, 441, 558, 905. So, keep reading to learn more.
Given numbers are 403,441,558,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,441,558,905 is 321678630.
Find LCM of 403,441,558,905 with Prime Factorization
| 3 | 403, 441, 558, 905 |
| 3 | 403, 147, 186, 905 |
| 31 | 403, 49, 62, 905 |
| 13, 49, 2, 905 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 31 x 13 x 49 x 2 x 905 = 321678630
Therefore, the lowest common multiple of 403,441,558,905 is 321678630.
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.
403 x 441 x 558 x 905 = 89748337770
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.
403 : 1, 13, 31, 403
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,441,558,905, is 1.
Now, the common factors can be found like this.
403:13x 31
441:3x 3x 7x 7
558:2x 3x 3x 31
905:5x 181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 31 = 279
Therefore, the value for common factors is 279.
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 = 89748337770/(1x279)
LCM = 89748337770/279
LCM = 321678630
Thus, we can understand that the LCM of 403,441,558,905 is 321678630.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 403, 441, 558, 905
1. What is the LCM of 403, 441, 558, 905?
Answer: LCM of 403, 441, 558, 905 is 321678630.
2. How to calculate the LCM of 403, 441, 558, 905?
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 403, 441, 558, 905.
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}.