LCM of 499, 962, 481, 637
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 499, 962, 481, 637 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 499, 962, 481, 637. So, keep reading to learn more.
Given numbers are 499,962,481,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 499,962,481,637 is 23521862.
Find LCM of 499,962,481,637 with Prime Factorization
| 13 | 499, 962, 481, 637 |
| 37 | 499, 74, 37, 49 |
| 499, 2, 1, 49 |
Multiply the prime numbers at the bottom and the left side.
13 x 37 x 499 x 2 x 1 x 49 = 23521862
Therefore, the lowest common multiple of 499,962,481,637 is 23521862.
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.
499 x 962 x 481 x 637 = 147082203086
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.
499 : 1, 499
962 : 1, 2, 13, 26, 37, 74, 481, 962
481 : 1, 13, 37, 481
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,962,481,637, is 1.
Now, the common factors can be found like this.
499:499
962:2x 13x 37
481:13x 37
637:7x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13x 37 = 6253
Therefore, the value for common factors is 6253.
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 = 147082203086/(1x6253)
LCM = 147082203086/6253
LCM = 23521862
Thus, we can understand that the LCM of 499,962,481,637 is 23521862.
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FAQs on LCM of 499, 962, 481, 637
1. What is the LCM of 499, 962, 481, 637?
Answer: LCM of 499, 962, 481, 637 is 23521862.
2. How to calculate the LCM of 499, 962, 481, 637?
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 499, 962, 481, 637.
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}.