LCM of 498, 782, 332, 424
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 498, 782, 332, 424 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 498, 782, 332, 424. So, keep reading to learn more.
Given numbers are 498,782,332,424
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 498,782,332,424 is 41280216.
Find LCM of 498,782,332,424 with Prime Factorization
| 2 | 498, 782, 332, 424 |
| 2 | 249, 391, 166, 212 |
| 83 | 249, 391, 83, 106 |
| 3, 391, 1, 106 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 83 x 3 x 391 x 1 x 106 = 41280216
Therefore, the lowest common multiple of 498,782,332,424 is 41280216.
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.
498 x 782 x 332 x 424 = 54820126848
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.
498 : 1, 2, 3, 6, 83, 166, 249, 498
782 : 1, 2, 17, 23, 34, 46, 391, 782
332 : 1, 2, 4, 83, 166, 332
424 : 1, 2, 4, 8, 53, 106, 212, 424
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,782,332,424, is 2.
Now, the common factors can be found like this.
498:2x 3x 83
782:2x 17x 23
332:2x 2x 83
424:2x 2x 2x 53
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 83 = 664
Therefore, the value for common factors is 664.
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 = 54820126848/(2x664)
LCM = 54820126848/1328
LCM = 41280216
Thus, we can understand that the LCM of 498,782,332,424 is 41280216.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 498, 782, 332, 424
1. What is the LCM of 498, 782, 332, 424?
Answer: LCM of 498, 782, 332, 424 is 41280216.
2. How to calculate the LCM of 498, 782, 332, 424?
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 498, 782, 332, 424.
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}.