LCM of 162, 904, 451, 349, 628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 162, 904, 451, 349, 628 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 162, 904, 451, 349, 628. So, keep reading to learn more.
Given numbers are 162,904,451,349,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 162,904,451,349,628 is 1809485347032.
Find LCM of 162,904,451,349,628 with Prime Factorization
| 2 | 162, 904, 451, 349, 628 |
| 2 | 81, 452, 451, 349, 314 |
| 81, 226, 451, 349, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 81 x 226 x 451 x 349 x 157 = 1809485347032
Therefore, the lowest common multiple of 162,904,451,349,628 is 1809485347032.
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.
162 x 904 x 451 x 349 x 628 = 14475882776256
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.
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
904 : 1, 2, 4, 8, 113, 226, 452, 904
451 : 1, 11, 41, 451
349 : 1, 349
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,904,451,349,628, is 1.
Now, the common factors can be found like this.
162:2x 3x 3x 3x 3
904:2x 2x 2x 113
451:11x 41
349:349
628:2x 2x 157
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 2 = 8
Therefore, the value for common factors is 8.
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 = 14475882776256/(1x8)
LCM = 14475882776256/8
LCM = 1809485347032
Thus, we can understand that the LCM of 162,904,451,349,628 is 1809485347032.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 162, 904, 451, 349, 628
1. What is the LCM of 162, 904, 451, 349, 628?
Answer: LCM of 162, 904, 451, 349, 628 is 1809485347032.
2. How to calculate the LCM of 162, 904, 451, 349, 628?
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 162, 904, 451, 349, 628.
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}.