Find the LCM of 972, 636, 462, 704, 528 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, 636, 462, 704, 528. So, keep reading to learn more.
Given numbers are 972,636,462,704,528
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,636,462,704,528 is 63467712.
Find LCM of 972,636,462,704,528 with Prime Factorization
2 | 972, 636, 462, 704, 528 |
2 | 486, 318, 231, 352, 264 |
2 | 243, 159, 231, 176, 132 |
2 | 243, 159, 231, 88, 66 |
3 | 243, 159, 231, 44, 33 |
11 | 81, 53, 77, 44, 11 |
81, 53, 7, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 81 x 53 x 7 x 4 x 1 = 63467712
Therefore, the lowest common multiple of 972,636,462,704,528 is 63467712.
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 636 x 462 x 704 x 528 = 106162695733248
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
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,636,462,704,528, is 2.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
636:2x 2x 3x 53
462:2x 3x 7x 11
704:2x 2x 2x 2x 2x 2x 11
528:2x 2x 2x 2x 3x 11
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 3x 3x 3x 11x 11 = 836352
Therefore, the value for common factors is 836352.
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 = 106162695733248/(2x836352)
LCM = 106162695733248/1672704
LCM = 63467712
Thus, we can understand that the LCM of 972,636,462,704,528 is 63467712.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 972, 636, 462, 704, 528?
Answer: LCM of 972, 636, 462, 704, 528 is 63467712.
2. How to calculate the LCM of 972, 636, 462, 704, 528?
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, 636, 462, 704, 528.
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}.