LCM of 153, 452, 182, 525, 388
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 153, 452, 182, 525, 388 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 153, 452, 182, 525, 388. So, keep reading to learn more.
Given numbers are 153,452,182,525,388
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,452,182,525,388 is 15261000300.
Find LCM of 153,452,182,525,388 with Prime Factorization
| 2 | 153, 452, 182, 525, 388 |
| 2 | 153, 226, 91, 525, 194 |
| 3 | 153, 113, 91, 525, 97 |
| 7 | 51, 113, 91, 175, 97 |
| 51, 113, 13, 25, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 51 x 113 x 13 x 25 x 97 = 15261000300
Therefore, the lowest common multiple of 153,452,182,525,388 is 15261000300.
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.
153 x 452 x 182 x 525 x 388 = 2563848050400
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.
153 : 1, 3, 9, 17, 51, 153
452 : 1, 2, 4, 113, 226, 452
182 : 1, 2, 7, 13, 14, 26, 91, 182
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
388 : 1, 2, 4, 97, 194, 388
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,452,182,525,388, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
452:2x 2x 113
182:2x 7x 13
525:3x 5x 5x 7
388:2x 2x 97
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 7 = 168
Therefore, the value for common factors is 168.
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 = 2563848050400/(1x168)
LCM = 2563848050400/168
LCM = 15261000300
Thus, we can understand that the LCM of 153,452,182,525,388 is 15261000300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 153, 452, 182, 525, 388
1. What is the LCM of 153, 452, 182, 525, 388?
Answer: LCM of 153, 452, 182, 525, 388 is 15261000300.
2. How to calculate the LCM of 153, 452, 182, 525, 388?
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 153, 452, 182, 525, 388.
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}.