Find the LCM of 972, 128, 576, 482, 631 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 972, 128, 576, 482, 631. So, keep reading to learn more.
Given numbers are 972,128,576,482,631
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,128,576,482,631 is 4730016384.
Find LCM of 972,128,576,482,631 with Prime Factorization
2 | 972, 128, 576, 482, 631 |
2 | 486, 64, 288, 241, 631 |
2 | 243, 32, 144, 241, 631 |
2 | 243, 16, 72, 241, 631 |
2 | 243, 8, 36, 241, 631 |
2 | 243, 4, 18, 241, 631 |
3 | 243, 2, 9, 241, 631 |
3 | 81, 2, 3, 241, 631 |
27, 2, 1, 241, 631 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 27 x 2 x 1 x 241 x 631 = 4730016384
Therefore, the lowest common multiple of 972,128,576,482,631 is 4730016384.
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.
972 x 128 x 576 x 482 x 631 = 21795915497472
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
128 : 1, 2, 4, 8, 16, 32, 64, 128
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
482 : 1, 2, 241, 482
631 : 1, 631
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,128,576,482,631, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
128:2x 2x 2x 2x 2x 2x 2
576:2x 2x 2x 2x 2x 2x 3x 3
482:2x 241
631:631
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 2x 2x 2x 3x 3 = 4608
Therefore, the value for common factors is 4608.
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 = 21795915497472/(1x4608)
LCM = 21795915497472/4608
LCM = 4730016384
Thus, we can understand that the LCM of 972,128,576,482,631 is 4730016384.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 972, 128, 576, 482, 631?
Answer: LCM of 972, 128, 576, 482, 631 is 4730016384.
2. How to calculate the LCM of 972, 128, 576, 482, 631?
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 972, 128, 576, 482, 631.
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}.