LCM of 543, 916, 983, 687
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 916, 983, 687 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, 916, 983, 687. So, keep reading to learn more.
Given numbers are 543,916,983,687
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,916,983,687 is 488932404.
Find LCM of 543,916,983,687 with Prime Factorization
| 3 | 543, 916, 983, 687 |
| 229 | 181, 916, 983, 229 |
| 181, 4, 983, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 229 x 181 x 4 x 983 x 1 = 488932404
Therefore, the lowest common multiple of 543,916,983,687 is 488932404.
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 916 x 983 x 687 = 335896561548
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
916 : 1, 2, 4, 229, 458, 916
983 : 1, 983
687 : 1, 3, 229, 687
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,916,983,687, is 1.
Now, the common factors can be found like this.
543:3x 181
916:2x 2x 229
983:983
687:3x 229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 229 = 687
Therefore, the value for common factors is 687.
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 = 335896561548/(1x687)
LCM = 335896561548/687
LCM = 488932404
Thus, we can understand that the LCM of 543,916,983,687 is 488932404.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 543, 916, 983, 687
1. What is the LCM of 543, 916, 983, 687?
Answer: LCM of 543, 916, 983, 687 is 488932404.
2. How to calculate the LCM of 543, 916, 983, 687?
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, 916, 983, 687.
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}.