LCM of 513, 642, 742, 513, 402
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 642, 742, 513, 402 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 513, 642, 742, 513, 402. So, keep reading to learn more.
Given numbers are 513,642,742,513,402
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,642,742,513,402 is 2728851174.
Find LCM of 513,642,742,513,402 with Prime Factorization
| 2 | 513, 642, 742, 513, 402 |
| 3 | 513, 321, 371, 513, 201 |
| 3 | 171, 107, 371, 171, 67 |
| 3 | 57, 107, 371, 57, 67 |
| 19 | 19, 107, 371, 19, 67 |
| 1, 107, 371, 1, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 19 x 1 x 107 x 371 x 1 x 67 = 2728851174
Therefore, the lowest common multiple of 513,642,742,513,402 is 2728851174.
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.
513 x 642 x 742 x 513 x 402 = 50396423481432
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
642 : 1, 2, 3, 6, 107, 214, 321, 642
742 : 1, 2, 7, 14, 53, 106, 371, 742
513 : 1, 3, 9, 19, 27, 57, 171, 513
402 : 1, 2, 3, 6, 67, 134, 201, 402
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,642,742,513,402, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
642:2x 3x 107
742:2x 7x 53
513:3x 3x 3x 19
402:2x 3x 67
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 3x 3x 3x 3x 3x 19 = 18468
Therefore, the value for common factors is 18468.
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 = 50396423481432/(1x18468)
LCM = 50396423481432/18468
LCM = 2728851174
Thus, we can understand that the LCM of 513,642,742,513,402 is 2728851174.
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FAQs on LCM of 513, 642, 742, 513, 402
1. What is the LCM of 513, 642, 742, 513, 402?
Answer: LCM of 513, 642, 742, 513, 402 is 2728851174.
2. How to calculate the LCM of 513, 642, 742, 513, 402?
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 513, 642, 742, 513, 402.
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}.