LCM of 403, 494, 644, 982, 817
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 494, 644, 982, 817 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, 494, 644, 982, 817. So, keep reading to learn more.
Given numbers are 403,494,644,982,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,494,644,982,817 is 104110483204.
Find LCM of 403,494,644,982,817 with Prime Factorization
| 2 | 403, 494, 644, 982, 817 |
| 13 | 403, 247, 322, 491, 817 |
| 19 | 31, 19, 322, 491, 817 |
| 31, 1, 322, 491, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 31 x 1 x 322 x 491 x 43 = 104110483204
Therefore, the lowest common multiple of 403,494,644,982,817 is 104110483204.
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 494 x 644 x 982 x 817 = 102861157405552
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
494 : 1, 2, 13, 19, 26, 38, 247, 494
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
982 : 1, 2, 491, 982
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,494,644,982,817, is 1.
Now, the common factors can be found like this.
403:13x 31
494:2x 13x 19
644:2x 2x 7x 23
982:2x 491
817:19x 43
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 13x 19 = 988
Therefore, the value for common factors is 988.
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 = 102861157405552/(1x988)
LCM = 102861157405552/988
LCM = 104110483204
Thus, we can understand that the LCM of 403,494,644,982,817 is 104110483204.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 403, 494, 644, 982, 817
1. What is the LCM of 403, 494, 644, 982, 817?
Answer: LCM of 403, 494, 644, 982, 817 is 104110483204.
2. How to calculate the LCM of 403, 494, 644, 982, 817?
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, 494, 644, 982, 817.
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}.