LCM of 492, 852, 745, 426, 519
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 492, 852, 745, 426, 519 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, 852, 745, 426, 519. So, keep reading to learn more.
Given numbers are 492,852,745,426,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,852,745,426,519 is 4502210820.
Find LCM of 492,852,745,426,519 with Prime Factorization
| 2 | 492, 852, 745, 426, 519 |
| 2 | 246, 426, 745, 213, 519 |
| 3 | 123, 213, 745, 213, 519 |
| 71 | 41, 71, 745, 71, 173 |
| 41, 1, 745, 1, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 71 x 41 x 1 x 745 x 1 x 173 = 4502210820
Therefore, the lowest common multiple of 492,852,745,426,519 is 4502210820.
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 852 x 745 x 426 x 519 = 69045905135520
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
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
745 : 1, 5, 149, 745
426 : 1, 2, 3, 6, 71, 142, 213, 426
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,852,745,426,519, is 1.
Now, the common factors can be found like this.
492:2x 2x 3x 41
852:2x 2x 3x 71
745:5x 149
426:2x 3x 71
519:3x 173
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 3x 3x 3x 71 = 15336
Therefore, the value for common factors is 15336.
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 = 69045905135520/(1x15336)
LCM = 69045905135520/15336
LCM = 4502210820
Thus, we can understand that the LCM of 492,852,745,426,519 is 4502210820.
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FAQs on LCM of 492, 852, 745, 426, 519
1. What is the LCM of 492, 852, 745, 426, 519?
Answer: LCM of 492, 852, 745, 426, 519 is 4502210820.
2. How to calculate the LCM of 492, 852, 745, 426, 519?
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, 852, 745, 426, 519.
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}.