LCM of 401, 286, 882, 715, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 401, 286, 882, 715, 759 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, 286, 882, 715, 759. So, keep reading to learn more.
Given numbers are 401,286,882,715,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 401,286,882,715,759 is 5816300490.
Find LCM of 401,286,882,715,759 with Prime Factorization
| 2 | 401, 286, 882, 715, 759 |
| 3 | 401, 143, 441, 715, 759 |
| 11 | 401, 143, 147, 715, 253 |
| 13 | 401, 13, 147, 65, 23 |
| 401, 1, 147, 5, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 401 x 1 x 147 x 5 x 23 = 5816300490
Therefore, the lowest common multiple of 401,286,882,715,759 is 5816300490.
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 286 x 882 x 715 x 759 = 54894244024620
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
286 : 1, 2, 11, 13, 22, 26, 143, 286
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
715 : 1, 5, 11, 13, 55, 65, 143, 715
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,286,882,715,759, is 1.
Now, the common factors can be found like this.
401:401
286:2x 11x 13
882:2x 3x 3x 7x 7
715:5x 11x 13
759:3x 11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 11x 13 = 9438
Therefore, the value for common factors is 9438.
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 = 54894244024620/(1x9438)
LCM = 54894244024620/9438
LCM = 5816300490
Thus, we can understand that the LCM of 401,286,882,715,759 is 5816300490.
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FAQs on LCM of 401, 286, 882, 715, 759
1. What is the LCM of 401, 286, 882, 715, 759?
Answer: LCM of 401, 286, 882, 715, 759 is 5816300490.
2. How to calculate the LCM of 401, 286, 882, 715, 759?
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, 286, 882, 715, 759.
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}.