LCM of 481, 623, 551, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 481, 623, 551, 494 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 481, 623, 551, 494. So, keep reading to learn more.
Given numbers are 481,623,551,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 481,623,551,494 is 330228626.
Find LCM of 481,623,551,494 with Prime Factorization
| 13 | 481, 623, 551, 494 |
| 19 | 37, 623, 551, 38 |
| 37, 623, 29, 2 |
Multiply the prime numbers at the bottom and the left side.
13 x 19 x 37 x 623 x 29 x 2 = 330228626
Therefore, the lowest common multiple of 481,623,551,494 is 330228626.
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.
481 x 623 x 551 x 494 = 81566470622
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.
481 : 1, 13, 37, 481
623 : 1, 7, 89, 623
551 : 1, 19, 29, 551
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,623,551,494, is 1.
Now, the common factors can be found like this.
481:13x 37
623:7x 89
551:19x 29
494:2x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 19 = 247
Therefore, the value for common factors is 247.
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 = 81566470622/(1x247)
LCM = 81566470622/247
LCM = 330228626
Thus, we can understand that the LCM of 481,623,551,494 is 330228626.
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FAQs on LCM of 481, 623, 551, 494
1. What is the LCM of 481, 623, 551, 494?
Answer: LCM of 481, 623, 551, 494 is 330228626.
2. How to calculate the LCM of 481, 623, 551, 494?
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 481, 623, 551, 494.
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}.