Find the LCM of 653, 252, 992, 577, 144 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 653, 252, 992, 577, 144. So, keep reading to learn more.
Given numbers are 653,252,992,577,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 653,252,992,577,144 is 23547305376.
Find LCM of 653,252,992,577,144 with Prime Factorization
2 | 653, 252, 992, 577, 144 |
2 | 653, 126, 496, 577, 72 |
2 | 653, 63, 248, 577, 36 |
2 | 653, 63, 124, 577, 18 |
3 | 653, 63, 62, 577, 9 |
3 | 653, 21, 62, 577, 3 |
653, 7, 62, 577, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 653 x 7 x 62 x 577 x 1 = 23547305376
Therefore, the lowest common multiple of 653,252,992,577,144 is 23547305376.
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.
653 x 252 x 992 x 577 x 144 = 13563247896576
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.
653 : 1, 653
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
577 : 1, 577
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,252,992,577,144, is 1.
Now, the common factors can be found like this.
653:653
252:2x 2x 3x 3x 7
992:2x 2x 2x 2x 2x 31
577:577
144:2x 2x 2x 2x 3x 3
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 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 13563247896576/(1x576)
LCM = 13563247896576/576
LCM = 23547305376
Thus, we can understand that the LCM of 653,252,992,577,144 is 23547305376.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 653, 252, 992, 577, 144?
Answer: LCM of 653, 252, 992, 577, 144 is 23547305376.
2. How to calculate the LCM of 653, 252, 992, 577, 144?
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 653, 252, 992, 577, 144.
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}.