Find the LCM of 463, 545, 472, 896, 120 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 463, 545, 472, 896, 120. So, keep reading to learn more.
Given numbers are 463,545,472,896,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,545,472,896,120 is 40018312320.
Find LCM of 463,545,472,896,120 with Prime Factorization
2 | 463, 545, 472, 896, 120 |
2 | 463, 545, 236, 448, 60 |
2 | 463, 545, 118, 224, 30 |
5 | 463, 545, 59, 112, 15 |
463, 109, 59, 112, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 463 x 109 x 59 x 112 x 3 = 40018312320
Therefore, the lowest common multiple of 463,545,472,896,120 is 40018312320.
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.
463 x 545 x 472 x 896 x 120 = 12805859942400
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.
463 : 1, 463
545 : 1, 5, 109, 545
472 : 1, 2, 4, 8, 59, 118, 236, 472
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,545,472,896,120, is 1.
Now, the common factors can be found like this.
463:463
545:5x 109
472:2x 2x 2x 59
896:2x 2x 2x 2x 2x 2x 2x 7
120:2x 2x 2x 3x 5
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 5 = 320
Therefore, the value for common factors is 320.
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 = 12805859942400/(1x320)
LCM = 12805859942400/320
LCM = 40018312320
Thus, we can understand that the LCM of 463,545,472,896,120 is 40018312320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 463, 545, 472, 896, 120?
Answer: LCM of 463, 545, 472, 896, 120 is 40018312320.
2. How to calculate the LCM of 463, 545, 472, 896, 120?
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 463, 545, 472, 896, 120.
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}.