LCM of 814, 252, 413, 149, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 252, 413, 149, 342 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 814, 252, 413, 149, 342. So, keep reading to learn more.
Given numbers are 814,252,413,149,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,252,413,149,342 is 17131162356.
Find LCM of 814,252,413,149,342 with Prime Factorization
| 2 | 814, 252, 413, 149, 342 |
| 3 | 407, 126, 413, 149, 171 |
| 3 | 407, 42, 413, 149, 57 |
| 7 | 407, 14, 413, 149, 19 |
| 407, 2, 59, 149, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 407 x 2 x 59 x 149 x 19 = 17131162356
Therefore, the lowest common multiple of 814,252,413,149,342 is 17131162356.
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.
814 x 252 x 413 x 149 x 342 = 4317052913712
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
413 : 1, 7, 59, 413
149 : 1, 149
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,252,413,149,342, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
252:2x 2x 3x 3x 7
413:7x 59
149:149
342:2x 3x 3x 19
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 7 = 252
Therefore, the value for common factors is 252.
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 = 4317052913712/(1x252)
LCM = 4317052913712/252
LCM = 17131162356
Thus, we can understand that the LCM of 814,252,413,149,342 is 17131162356.
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FAQs on LCM of 814, 252, 413, 149, 342
1. What is the LCM of 814, 252, 413, 149, 342?
Answer: LCM of 814, 252, 413, 149, 342 is 17131162356.
2. How to calculate the LCM of 814, 252, 413, 149, 342?
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 814, 252, 413, 149, 342.
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}.