Find the LCM of 430, 407, 962, 320, 624 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 430, 407, 962, 320, 624. So, keep reading to learn more.
Given numbers are 430,407,962,320,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 430,407,962,320,624 is 218412480.
Find LCM of 430,407,962,320,624 with Prime Factorization
2 | 430, 407, 962, 320, 624 |
2 | 215, 407, 481, 160, 312 |
2 | 215, 407, 481, 80, 156 |
2 | 215, 407, 481, 40, 78 |
5 | 215, 407, 481, 20, 39 |
13 | 43, 407, 481, 4, 39 |
37 | 43, 407, 37, 4, 3 |
43, 11, 1, 4, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 13 x 37 x 43 x 11 x 1 x 4 x 3 = 218412480
Therefore, the lowest common multiple of 430,407,962,320,624 is 218412480.
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.
430 x 407 x 962 x 320 x 624 = 33618048921600
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.
430 : 1, 2, 5, 10, 43, 86, 215, 430
407 : 1, 11, 37, 407
962 : 1, 2, 13, 26, 37, 74, 481, 962
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,407,962,320,624, is 1.
Now, the common factors can be found like this.
430:2x 5x 43
407:11x 37
962:2x 13x 37
320:2x 2x 2x 2x 2x 2x 5
624:2x 2x 2x 2x 3x 13
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 13x 37 = 153920
Therefore, the value for common factors is 153920.
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 = 33618048921600/(1x153920)
LCM = 33618048921600/153920
LCM = 218412480
Thus, we can understand that the LCM of 430,407,962,320,624 is 218412480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 430, 407, 962, 320, 624?
Answer: LCM of 430, 407, 962, 320, 624 is 218412480.
2. How to calculate the LCM of 430, 407, 962, 320, 624?
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 430, 407, 962, 320, 624.
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}.