LCM of 144, 401, 702, 498, 451
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 144, 401, 702, 498, 451 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 144, 401, 702, 498, 451. So, keep reading to learn more.
Given numbers are 144,401,702,498,451
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,401,702,498,451 is 84299714928.
Find LCM of 144,401,702,498,451 with Prime Factorization
| 2 | 144, 401, 702, 498, 451 |
| 3 | 72, 401, 351, 249, 451 |
| 3 | 24, 401, 117, 83, 451 |
| 8, 401, 39, 83, 451 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 8 x 401 x 39 x 83 x 451 = 84299714928
Therefore, the lowest common multiple of 144,401,702,498,451 is 84299714928.
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.
144 x 401 x 702 x 498 x 451 = 9104369212224
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.
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
401 : 1, 401
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
498 : 1, 2, 3, 6, 83, 166, 249, 498
451 : 1, 11, 41, 451
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,401,702,498,451, is 1.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
401:401
702:2x 3x 3x 3x 13
498:2x 3x 83
451:11x 41
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 9104369212224/(1x108)
LCM = 9104369212224/108
LCM = 84299714928
Thus, we can understand that the LCM of 144,401,702,498,451 is 84299714928.
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FAQs on LCM of 144, 401, 702, 498, 451
1. What is the LCM of 144, 401, 702, 498, 451?
Answer: LCM of 144, 401, 702, 498, 451 is 84299714928.
2. How to calculate the LCM of 144, 401, 702, 498, 451?
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 144, 401, 702, 498, 451.
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}.