LCM of 401, 814, 377, 429, 563
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 401, 814, 377, 429, 563 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 401, 814, 377, 429, 563. So, keep reading to learn more.
Given numbers are 401,814,377,429,563
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 401,814,377,429,563 is 207845093742.
Find LCM of 401,814,377,429,563 with Prime Factorization
| 11 | 401, 814, 377, 429, 563 |
| 13 | 401, 74, 377, 39, 563 |
| 401, 74, 29, 3, 563 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 401 x 74 x 29 x 3 x 563 = 207845093742
Therefore, the lowest common multiple of 401,814,377,429,563 is 207845093742.
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.
401 x 814 x 377 x 429 x 563 = 29721848405106
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.
401 : 1, 401
814 : 1, 2, 11, 22, 37, 74, 407, 814
377 : 1, 13, 29, 377
429 : 1, 3, 11, 13, 33, 39, 143, 429
563 : 1, 563
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,814,377,429,563, is 1.
Now, the common factors can be found like this.
401:401
814:2x 11x 37
377:13x 29
429:3x 11x 13
563:563
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13 = 143
Therefore, the value for common factors is 143.
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 = 29721848405106/(1x143)
LCM = 29721848405106/143
LCM = 207845093742
Thus, we can understand that the LCM of 401,814,377,429,563 is 207845093742.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 401, 814, 377, 429, 563
1. What is the LCM of 401, 814, 377, 429, 563?
Answer: LCM of 401, 814, 377, 429, 563 is 207845093742.
2. How to calculate the LCM of 401, 814, 377, 429, 563?
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 401, 814, 377, 429, 563.
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}.