LCM of 516, 678, 728, 785, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 516, 678, 728, 785, 506 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 516, 678, 728, 785, 506. So, keep reading to learn more.
Given numbers are 516,678,728,785,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 516,678,728,785,506 is 2107607381880.
Find LCM of 516,678,728,785,506 with Prime Factorization
| 2 | 516, 678, 728, 785, 506 |
| 2 | 258, 339, 364, 785, 253 |
| 3 | 129, 339, 182, 785, 253 |
| 43, 113, 182, 785, 253 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 43 x 113 x 182 x 785 x 253 = 2107607381880
Therefore, the lowest common multiple of 516,678,728,785,506 is 2107607381880.
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.
516 x 678 x 728 x 785 x 506 = 101165154330240
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.
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
678 : 1, 2, 3, 6, 113, 226, 339, 678
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
785 : 1, 5, 157, 785
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,678,728,785,506, is 1.
Now, the common factors can be found like this.
516:2x 2x 3x 43
678:2x 3x 113
728:2x 2x 2x 7x 13
785:5x 157
506:2x 11x 23
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 3 = 48
Therefore, the value for common factors is 48.
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 = 101165154330240/(1x48)
LCM = 101165154330240/48
LCM = 2107607381880
Thus, we can understand that the LCM of 516,678,728,785,506 is 2107607381880.
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FAQs on LCM of 516, 678, 728, 785, 506
1. What is the LCM of 516, 678, 728, 785, 506?
Answer: LCM of 516, 678, 728, 785, 506 is 2107607381880.
2. How to calculate the LCM of 516, 678, 728, 785, 506?
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 516, 678, 728, 785, 506.
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}.