LCM of 426, 324, 492, 410, 519
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 426, 324, 492, 410, 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 426, 324, 492, 410, 519. So, keep reading to learn more.
Given numbers are 426,324,492,410,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 426,324,492,410,519 is 815836860.
Find LCM of 426,324,492,410,519 with Prime Factorization
| 2 | 426, 324, 492, 410, 519 |
| 2 | 213, 162, 246, 205, 519 |
| 3 | 213, 81, 123, 205, 519 |
| 41 | 71, 27, 41, 205, 173 |
| 71, 27, 1, 5, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 41 x 71 x 27 x 1 x 5 x 173 = 815836860
Therefore, the lowest common multiple of 426,324,492,410,519 is 815836860.
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.
426 x 324 x 492 x 410 x 519 = 14450102464320
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.
426 : 1, 2, 3, 6, 71, 142, 213, 426
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
410 : 1, 2, 5, 10, 41, 82, 205, 410
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,324,492,410,519, is 1.
Now, the common factors can be found like this.
426:2x 3x 71
324:2x 2x 3x 3x 3x 3
492:2x 2x 3x 41
410:2x 5x 41
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 2x 3x 3x 3x 41 = 17712
Therefore, the value for common factors is 17712.
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 = 14450102464320/(1x17712)
LCM = 14450102464320/17712
LCM = 815836860
Thus, we can understand that the LCM of 426,324,492,410,519 is 815836860.
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FAQs on LCM of 426, 324, 492, 410, 519
1. What is the LCM of 426, 324, 492, 410, 519?
Answer: LCM of 426, 324, 492, 410, 519 is 815836860.
2. How to calculate the LCM of 426, 324, 492, 410, 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 426, 324, 492, 410, 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}.