LCM of 452, 430, 715, 507, 159
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 452, 430, 715, 507, 159 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, 430, 715, 507, 159. So, keep reading to learn more.
Given numbers are 452,430,715,507,159
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,430,715,507,159 is 28724561580.
Find LCM of 452,430,715,507,159 with Prime Factorization
| 2 | 452, 430, 715, 507, 159 |
| 3 | 226, 215, 715, 507, 159 |
| 5 | 226, 215, 715, 169, 53 |
| 13 | 226, 43, 143, 169, 53 |
| 226, 43, 11, 13, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 226 x 43 x 11 x 13 x 53 = 28724561580
Therefore, the lowest common multiple of 452,430,715,507,159 is 28724561580.
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 430 x 715 x 507 x 159 = 11202579016200
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
430 : 1, 2, 5, 10, 43, 86, 215, 430
715 : 1, 5, 11, 13, 55, 65, 143, 715
507 : 1, 3, 13, 39, 169, 507
159 : 1, 3, 53, 159
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,430,715,507,159, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
430:2x 5x 43
715:5x 11x 13
507:3x 13x 13
159:3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 13 = 390
Therefore, the value for common factors is 390.
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 = 11202579016200/(1x390)
LCM = 11202579016200/390
LCM = 28724561580
Thus, we can understand that the LCM of 452,430,715,507,159 is 28724561580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 452, 430, 715, 507, 159
1. What is the LCM of 452, 430, 715, 507, 159?
Answer: LCM of 452, 430, 715, 507, 159 is 28724561580.
2. How to calculate the LCM of 452, 430, 715, 507, 159?
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, 430, 715, 507, 159.
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}.