Find the LCM of 996, 493, 747, 172, 602 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 996, 493, 747, 172, 602. So, keep reading to learn more.
Given numbers are 996,493,747,172,602
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 996,493,747,172,602 is 443398284.
Find LCM of 996,493,747,172,602 with Prime Factorization
2 | 996, 493, 747, 172, 602 |
2 | 498, 493, 747, 86, 301 |
3 | 249, 493, 747, 43, 301 |
43 | 83, 493, 249, 43, 301 |
83 | 83, 493, 249, 1, 7 |
1, 493, 3, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 43 x 83 x 1 x 493 x 3 x 1 x 7 = 443398284
Therefore, the lowest common multiple of 996,493,747,172,602 is 443398284.
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.
996 x 493 x 747 x 172 x 602 = 37979723414304
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.
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
493 : 1, 17, 29, 493
747 : 1, 3, 9, 83, 249, 747
172 : 1, 2, 4, 43, 86, 172
602 : 1, 2, 7, 14, 43, 86, 301, 602
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,493,747,172,602, is 1.
Now, the common factors can be found like this.
996:2x 2x 3x 83
493:17x 29
747:3x 3x 83
172:2x 2x 43
602:2x 7x 43
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 43x 83 = 85656
Therefore, the value for common factors is 85656.
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 = 37979723414304/(1x85656)
LCM = 37979723414304/85656
LCM = 443398284
Thus, we can understand that the LCM of 996,493,747,172,602 is 443398284.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 996, 493, 747, 172, 602?
Answer: LCM of 996, 493, 747, 172, 602 is 443398284.
2. How to calculate the LCM of 996, 493, 747, 172, 602?
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 996, 493, 747, 172, 602.
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}.