Find the LCM of 864, 576, 689, 465, 740 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 864, 576, 689, 465, 740. So, keep reading to learn more.
Given numbers are 864,576,689,465,740
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 864,576,689,465,740 is 6828045120.
Find LCM of 864,576,689,465,740 with Prime Factorization
2 | 864, 576, 689, 465, 740 |
2 | 432, 288, 689, 465, 370 |
2 | 216, 144, 689, 465, 185 |
2 | 108, 72, 689, 465, 185 |
2 | 54, 36, 689, 465, 185 |
3 | 27, 18, 689, 465, 185 |
3 | 9, 6, 689, 155, 185 |
5 | 3, 2, 689, 155, 185 |
3, 2, 689, 31, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 3 x 2 x 689 x 31 x 37 = 6828045120
Therefore, the lowest common multiple of 864,576,689,465,740 is 6828045120.
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.
864 x 576 x 689 x 465 x 740 = 117988619673600
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.
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
689 : 1, 13, 53, 689
465 : 1, 3, 5, 15, 31, 93, 155, 465
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,576,689,465,740, is 1.
Now, the common factors can be found like this.
864:2x 2x 2x 2x 2x 3x 3x 3
576:2x 2x 2x 2x 2x 2x 3x 3
689:13x 53
465:3x 5x 31
740:2x 2x 5x 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 2x 2x 2x 2x 2x 2x 3x 3x 3x 5 = 17280
Therefore, the value for common factors is 17280.
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 = 117988619673600/(1x17280)
LCM = 117988619673600/17280
LCM = 6828045120
Thus, we can understand that the LCM of 864,576,689,465,740 is 6828045120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 864, 576, 689, 465, 740?
Answer: LCM of 864, 576, 689, 465, 740 is 6828045120.
2. How to calculate the LCM of 864, 576, 689, 465, 740?
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 864, 576, 689, 465, 740.
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}.