LCM of 543, 310, 855, 678, 780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 310, 855, 678, 780 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 543, 310, 855, 678, 780. So, keep reading to learn more.
Given numbers are 543,310,855,678,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,310,855,678,780 is 28189551780.
Find LCM of 543,310,855,678,780 with Prime Factorization
| 2 | 543, 310, 855, 678, 780 |
| 3 | 543, 155, 855, 339, 390 |
| 5 | 181, 155, 285, 113, 130 |
| 181, 31, 57, 113, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 181 x 31 x 57 x 113 x 26 = 28189551780
Therefore, the lowest common multiple of 543,310,855,678,780 is 28189551780.
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.
543 x 310 x 855 x 678 x 780 = 76111789806000
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.
543 : 1, 3, 181, 543
310 : 1, 2, 5, 10, 31, 62, 155, 310
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
678 : 1, 2, 3, 6, 113, 226, 339, 678
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,310,855,678,780, is 1.
Now, the common factors can be found like this.
543:3x 181
310:2x 5x 31
855:3x 3x 5x 19
678:2x 3x 113
780:2x 2x 3x 5x 13
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 5x 5 = 2700
Therefore, the value for common factors is 2700.
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 = 76111789806000/(1x2700)
LCM = 76111789806000/2700
LCM = 28189551780
Thus, we can understand that the LCM of 543,310,855,678,780 is 28189551780.
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FAQs on LCM of 543, 310, 855, 678, 780
1. What is the LCM of 543, 310, 855, 678, 780?
Answer: LCM of 543, 310, 855, 678, 780 is 28189551780.
2. How to calculate the LCM of 543, 310, 855, 678, 780?
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 543, 310, 855, 678, 780.
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}.