LCM of 492, 913, 489, 769, 498
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 492, 913, 489, 769, 498 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 492, 913, 489, 769, 498. So, keep reading to learn more.
Given numbers are 492,913,489,769,498
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,913,489,769,498 is 56305371012.
Find LCM of 492,913,489,769,498 with Prime Factorization
| 2 | 492, 913, 489, 769, 498 |
| 3 | 246, 913, 489, 769, 249 |
| 83 | 82, 913, 163, 769, 83 |
| 82, 11, 163, 769, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 83 x 82 x 11 x 163 x 769 x 1 = 56305371012
Therefore, the lowest common multiple of 492,913,489,769,498 is 56305371012.
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.
492 x 913 x 489 x 769 x 498 = 84120224291928
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.
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
913 : 1, 11, 83, 913
489 : 1, 3, 163, 489
769 : 1, 769
498 : 1, 2, 3, 6, 83, 166, 249, 498
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,913,489,769,498, is 1.
Now, the common factors can be found like this.
492:2x 2x 3x 41
913:11x 83
489:3x 163
769:769
498:2x 3x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 83 = 1494
Therefore, the value for common factors is 1494.
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 = 84120224291928/(1x1494)
LCM = 84120224291928/1494
LCM = 56305371012
Thus, we can understand that the LCM of 492,913,489,769,498 is 56305371012.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 492, 913, 489, 769, 498
1. What is the LCM of 492, 913, 489, 769, 498?
Answer: LCM of 492, 913, 489, 769, 498 is 56305371012.
2. How to calculate the LCM of 492, 913, 489, 769, 498?
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 492, 913, 489, 769, 498.
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}.