LCM of 452, 380, 855, 597, 554
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 452, 380, 855, 597, 554 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, 380, 855, 597, 554. So, keep reading to learn more.
Given numbers are 452,380,855,597,554
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,380,855,597,554 is 21302834580.
Find LCM of 452,380,855,597,554 with Prime Factorization
| 2 | 452, 380, 855, 597, 554 |
| 2 | 226, 190, 855, 597, 277 |
| 3 | 113, 95, 855, 597, 277 |
| 5 | 113, 95, 285, 199, 277 |
| 19 | 113, 19, 57, 199, 277 |
| 113, 1, 3, 199, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 19 x 113 x 1 x 3 x 199 x 277 = 21302834580
Therefore, the lowest common multiple of 452,380,855,597,554 is 21302834580.
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 380 x 855 x 597 x 554 = 48570462842400
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
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
597 : 1, 3, 199, 597
554 : 1, 2, 277, 554
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,380,855,597,554, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
380:2x 2x 5x 19
855:3x 3x 5x 19
597:3x 199
554:2x 277
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 5x 19 = 2280
Therefore, the value for common factors is 2280.
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 = 48570462842400/(1x2280)
LCM = 48570462842400/2280
LCM = 21302834580
Thus, we can understand that the LCM of 452,380,855,597,554 is 21302834580.
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, 380, 855, 597, 554
1. What is the LCM of 452, 380, 855, 597, 554?
Answer: LCM of 452, 380, 855, 597, 554 is 21302834580.
2. How to calculate the LCM of 452, 380, 855, 597, 554?
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, 380, 855, 597, 554.
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}.