LCM of 452, 621, 314, 528, 993
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 452, 621, 314, 528, 993 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 452, 621, 314, 528, 993. So, keep reading to learn more.
Given numbers are 452,621,314,528,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,621,314,528,993 is 641815731216.
Find LCM of 452,621,314,528,993 with Prime Factorization
| 2 | 452, 621, 314, 528, 993 |
| 2 | 226, 621, 157, 264, 993 |
| 3 | 113, 621, 157, 132, 993 |
| 113, 207, 157, 44, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 113 x 207 x 157 x 44 x 331 = 641815731216
Therefore, the lowest common multiple of 452,621,314,528,993 is 641815731216.
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.
452 x 621 x 314 x 528 x 993 = 46210732647552
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.
452 : 1, 2, 4, 113, 226, 452
621 : 1, 3, 9, 23, 27, 69, 207, 621
314 : 1, 2, 157, 314
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,621,314,528,993, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
621:3x 3x 3x 23
314:2x 157
528:2x 2x 2x 2x 3x 11
993:3x 331
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 3 = 72
Therefore, the value for common factors is 72.
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 = 46210732647552/(1x72)
LCM = 46210732647552/72
LCM = 641815731216
Thus, we can understand that the LCM of 452,621,314,528,993 is 641815731216.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 452, 621, 314, 528, 993
1. What is the LCM of 452, 621, 314, 528, 993?
Answer: LCM of 452, 621, 314, 528, 993 is 641815731216.
2. How to calculate the LCM of 452, 621, 314, 528, 993?
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 452, 621, 314, 528, 993.
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}.