LCM of 401, 780, 471, 731, 645
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 401, 780, 471, 731, 645 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, 780, 471, 731, 645. So, keep reading to learn more.
Given numbers are 401,780,471,731,645
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 401,780,471,731,645 is 35896822260.
Find LCM of 401,780,471,731,645 with Prime Factorization
| 3 | 401, 780, 471, 731, 645 |
| 5 | 401, 260, 157, 731, 215 |
| 43 | 401, 52, 157, 731, 43 |
| 401, 52, 157, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 43 x 401 x 52 x 157 x 17 x 1 = 35896822260
Therefore, the lowest common multiple of 401,780,471,731,645 is 35896822260.
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 780 x 471 x 731 x 645 = 69460351073100
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
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
471 : 1, 3, 157, 471
731 : 1, 17, 43, 731
645 : 1, 3, 5, 15, 43, 129, 215, 645
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,780,471,731,645, is 1.
Now, the common factors can be found like this.
401:401
780:2x 2x 3x 5x 13
471:3x 157
731:17x 43
645:3x 5x 43
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 5x 43 = 1935
Therefore, the value for common factors is 1935.
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 = 69460351073100/(1x1935)
LCM = 69460351073100/1935
LCM = 35896822260
Thus, we can understand that the LCM of 401,780,471,731,645 is 35896822260.
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FAQs on LCM of 401, 780, 471, 731, 645
1. What is the LCM of 401, 780, 471, 731, 645?
Answer: LCM of 401, 780, 471, 731, 645 is 35896822260.
2. How to calculate the LCM of 401, 780, 471, 731, 645?
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, 780, 471, 731, 645.
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}.