LCM of 838, 846, 558, 493, 501
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 838, 846, 558, 493, 501 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 838, 846, 558, 493, 501. So, keep reading to learn more.
Given numbers are 838,846,558,493,501
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 838,846,558,493,501 is 904710165714.
Find LCM of 838,846,558,493,501 with Prime Factorization
| 2 | 838, 846, 558, 493, 501 |
| 3 | 419, 423, 279, 493, 501 |
| 3 | 419, 141, 93, 493, 167 |
| 419, 47, 31, 493, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 419 x 47 x 31 x 493 x 167 = 904710165714
Therefore, the lowest common multiple of 838,846,558,493,501 is 904710165714.
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.
838 x 846 x 558 x 493 x 501 = 97708697897112
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.
838 : 1, 2, 419, 838
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
493 : 1, 17, 29, 493
501 : 1, 3, 167, 501
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,846,558,493,501, is 1.
Now, the common factors can be found like this.
838:2x 419
846:2x 3x 3x 47
558:2x 3x 3x 31
493:17x 29
501:3x 167
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 97708697897112/(1x108)
LCM = 97708697897112/108
LCM = 904710165714
Thus, we can understand that the LCM of 838,846,558,493,501 is 904710165714.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 838, 846, 558, 493, 501
1. What is the LCM of 838, 846, 558, 493, 501?
Answer: LCM of 838, 846, 558, 493, 501 is 904710165714.
2. How to calculate the LCM of 838, 846, 558, 493, 501?
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 838, 846, 558, 493, 501.
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}.