Find the LCM of 640, 812, 377, 699, 654 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, 812, 377, 699, 654. So, keep reading to learn more.
Given numbers are 640,812,377,699,654
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 640,812,377,699,654 is 128683551360.
Find LCM of 640,812,377,699,654 with Prime Factorization
2 | 640, 812, 377, 699, 654 |
2 | 320, 406, 377, 699, 327 |
3 | 160, 203, 377, 699, 327 |
29 | 160, 203, 377, 233, 109 |
160, 7, 13, 233, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 160 x 7 x 13 x 233 x 109 = 128683551360
Therefore, the lowest common multiple of 640,812,377,699,654 is 128683551360.
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 812 x 377 x 699 x 654 = 89563751746560
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
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
377 : 1, 13, 29, 377
699 : 1, 3, 233, 699
654 : 1, 2, 3, 6, 109, 218, 327, 654
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 640,812,377,699,654, is 1.
Now, the common factors can be found like this.
640:2x 2x 2x 2x 2x 2x 2x 5
812:2x 2x 7x 29
377:13x 29
699:3x 233
654:2x 3x 109
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 29 = 696
Therefore, the value for common factors is 696.
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 = 89563751746560/(1x696)
LCM = 89563751746560/696
LCM = 128683551360
Thus, we can understand that the LCM of 640,812,377,699,654 is 128683551360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 640, 812, 377, 699, 654?
Answer: LCM of 640, 812, 377, 699, 654 is 128683551360.
2. How to calculate the LCM of 640, 812, 377, 699, 654?
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, 812, 377, 699, 654.
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}.