LCM of 516, 738, 762, 387, 200
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 516, 738, 762, 387, 200 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, 738, 762, 387, 200. So, keep reading to learn more.
Given numbers are 516,738,762,387,200
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 516,738,762,387,200 is 403021800.
Find LCM of 516,738,762,387,200 with Prime Factorization
| 2 | 516, 738, 762, 387, 200 |
| 2 | 258, 369, 381, 387, 100 |
| 3 | 129, 369, 381, 387, 50 |
| 3 | 43, 123, 127, 129, 50 |
| 43 | 43, 41, 127, 43, 50 |
| 1, 41, 127, 1, 50 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 43 x 1 x 41 x 127 x 1 x 50 = 403021800
Therefore, the lowest common multiple of 516,738,762,387,200 is 403021800.
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 738 x 762 x 387 x 200 = 22459598870400
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
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
762 : 1, 2, 3, 6, 127, 254, 381, 762
387 : 1, 3, 9, 43, 129, 387
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,738,762,387,200, is 1.
Now, the common factors can be found like this.
516:2x 2x 3x 43
738:2x 3x 3x 41
762:2x 3x 127
387:3x 3x 43
200:2x 2x 2x 5x 5
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 3x 43 = 55728
Therefore, the value for common factors is 55728.
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 = 22459598870400/(1x55728)
LCM = 22459598870400/55728
LCM = 403021800
Thus, we can understand that the LCM of 516,738,762,387,200 is 403021800.
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FAQs on LCM of 516, 738, 762, 387, 200
1. What is the LCM of 516, 738, 762, 387, 200?
Answer: LCM of 516, 738, 762, 387, 200 is 403021800.
2. How to calculate the LCM of 516, 738, 762, 387, 200?
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, 738, 762, 387, 200.
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}.