LCM of 494, 632, 401, 176
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 494, 632, 401, 176 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 494, 632, 401, 176. So, keep reading to learn more.
Given numbers are 494,632,401,176
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,632,401,176 is 1377149488.
Find LCM of 494,632,401,176 with Prime Factorization
| 2 | 494, 632, 401, 176 |
| 2 | 247, 316, 401, 88 |
| 2 | 247, 158, 401, 44 |
| 247, 79, 401, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 247 x 79 x 401 x 22 = 1377149488
Therefore, the lowest common multiple of 494,632,401,176 is 1377149488.
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.
494 x 632 x 401 x 176 = 22034391808
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
632 : 1, 2, 4, 8, 79, 158, 316, 632
401 : 1, 401
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,632,401,176, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
632:2x 2x 2x 79
401:401
176:2x 2x 2x 2x 11
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 2 = 16
Therefore, the value for common factors is 16.
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 = 22034391808/(1x16)
LCM = 22034391808/16
LCM = 1377149488
Thus, we can understand that the LCM of 494,632,401,176 is 1377149488.
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FAQs on LCM of 494, 632, 401, 176
1. What is the LCM of 494, 632, 401, 176?
Answer: LCM of 494, 632, 401, 176 is 1377149488.
2. How to calculate the LCM of 494, 632, 401, 176?
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 494, 632, 401, 176.
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}.