Find the LCM of 640, 851, 800, 510, 437 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 640, 851, 800, 510, 437. So, keep reading to learn more.
Given numbers are 640,851,800,510,437
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 640,851,800,510,437 is 2638780800.
Find LCM of 640,851,800,510,437 with Prime Factorization
2 | 640, 851, 800, 510, 437 |
2 | 320, 851, 400, 255, 437 |
2 | 160, 851, 200, 255, 437 |
2 | 80, 851, 100, 255, 437 |
2 | 40, 851, 50, 255, 437 |
5 | 20, 851, 25, 255, 437 |
23 | 4, 851, 5, 51, 437 |
4, 37, 5, 51, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 5 x 23 x 4 x 37 x 5 x 51 x 19 = 2638780800
Therefore, the lowest common multiple of 640,851,800,510,437 is 2638780800.
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.
640 x 851 x 800 x 510 x 437 = 97107133440000
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.
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
851 : 1, 23, 37, 851
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
437 : 1, 19, 23, 437
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 640,851,800,510,437, is 1.
Now, the common factors can be found like this.
640:2x 2x 2x 2x 2x 2x 2x 5
851:23x 37
800:2x 2x 2x 2x 2x 5x 5
510:2x 3x 5x 17
437:19x 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 2x 2x 2x 2x 2x 5x 5x 23 = 36800
Therefore, the value for common factors is 36800.
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 = 97107133440000/(1x36800)
LCM = 97107133440000/36800
LCM = 2638780800
Thus, we can understand that the LCM of 640,851,800,510,437 is 2638780800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 640, 851, 800, 510, 437?
Answer: LCM of 640, 851, 800, 510, 437 is 2638780800.
2. How to calculate the LCM of 640, 851, 800, 510, 437?
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 640, 851, 800, 510, 437.
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}.