Find the LCM of 657, 621, 902, 700, 864 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 657, 621, 902, 700, 864. So, keep reading to learn more.
Given numbers are 657,621,902,700,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,621,902,700,864 is 114493024800.
Find LCM of 657,621,902,700,864 with Prime Factorization
2 | 657, 621, 902, 700, 864 |
2 | 657, 621, 451, 350, 432 |
3 | 657, 621, 451, 175, 216 |
3 | 219, 207, 451, 175, 72 |
3 | 73, 69, 451, 175, 24 |
73, 23, 451, 175, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 73 x 23 x 451 x 175 x 8 = 114493024800
Therefore, the lowest common multiple of 657,621,902,700,864 is 114493024800.
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.
657 x 621 x 902 x 700 x 864 = 222574440211200
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.
657 : 1, 3, 9, 73, 219, 657
621 : 1, 3, 9, 23, 27, 69, 207, 621
902 : 1, 2, 11, 22, 41, 82, 451, 902
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,621,902,700,864, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
621:3x 3x 3x 23
902:2x 11x 41
700:2x 2x 5x 5x 7
864:2x 2x 2x 2x 2x 3x 3x 3
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 3x 3x 3x 3x 3 = 1944
Therefore, the value for common factors is 1944.
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 = 222574440211200/(1x1944)
LCM = 222574440211200/1944
LCM = 114493024800
Thus, we can understand that the LCM of 657,621,902,700,864 is 114493024800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 657, 621, 902, 700, 864?
Answer: LCM of 657, 621, 902, 700, 864 is 114493024800.
2. How to calculate the LCM of 657, 621, 902, 700, 864?
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 657, 621, 902, 700, 864.
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}.