LCM of 564, 611, 401, 611, 745
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 564, 611, 401, 611, 745 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 564, 611, 401, 611, 745. So, keep reading to learn more.
Given numbers are 564,611,401,611,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,611,401,611,745 is 2190398340.
Find LCM of 564,611,401,611,745 with Prime Factorization
| 13 | 564, 611, 401, 611, 745 |
| 47 | 564, 47, 401, 47, 745 |
| 12, 1, 401, 1, 745 |
Multiply the prime numbers at the bottom and the left side.
13 x 47 x 12 x 1 x 401 x 1 x 745 = 2190398340
Therefore, the lowest common multiple of 564,611,401,611,745 is 2190398340.
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.
564 x 611 x 401 x 611 x 745 = 62901669129780
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
611 : 1, 13, 47, 611
401 : 1, 401
611 : 1, 13, 47, 611
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,611,401,611,745, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
611:13x 47
401:401
611:13x 47
745:5x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 47x 47 = 28717
Therefore, the value for common factors is 28717.
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 = 62901669129780/(1x28717)
LCM = 62901669129780/28717
LCM = 2190398340
Thus, we can understand that the LCM of 564,611,401,611,745 is 2190398340.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 564, 611, 401, 611, 745
1. What is the LCM of 564, 611, 401, 611, 745?
Answer: LCM of 564, 611, 401, 611, 745 is 2190398340.
2. How to calculate the LCM of 564, 611, 401, 611, 745?
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 564, 611, 401, 611, 745.
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}.