LCM of 401, 690, 855, 666
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 401, 690, 855, 666 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, 690, 855, 666. So, keep reading to learn more.
Given numbers are 401,690,855,666
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 401,690,855,666 is 583539210.
Find LCM of 401,690,855,666 with Prime Factorization
| 2 | 401, 690, 855, 666 |
| 3 | 401, 345, 855, 333 |
| 3 | 401, 115, 285, 111 |
| 5 | 401, 115, 95, 37 |
| 401, 23, 19, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 401 x 23 x 19 x 37 = 583539210
Therefore, the lowest common multiple of 401,690,855,666 is 583539210.
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 690 x 855 x 666 = 157555586700
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
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,690,855,666, is 1.
Now, the common factors can be found like this.
401:401
690:2x 3x 5x 23
855:3x 3x 5x 19
666:2x 3x 3x 37
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 3x 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 157555586700/(1x270)
LCM = 157555586700/270
LCM = 583539210
Thus, we can understand that the LCM of 401,690,855,666 is 583539210.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 401, 690, 855, 666
1. What is the LCM of 401, 690, 855, 666?
Answer: LCM of 401, 690, 855, 666 is 583539210.
2. How to calculate the LCM of 401, 690, 855, 666?
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, 690, 855, 666.
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}.