LCM of 599, 516, 659, 387, 543
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 599, 516, 659, 387, 543 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 599, 516, 659, 387, 543. So, keep reading to learn more.
Given numbers are 599,516,659,387,543
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,516,659,387,543 is 110601691308.
Find LCM of 599,516,659,387,543 with Prime Factorization
| 3 | 599, 516, 659, 387, 543 |
| 43 | 599, 172, 659, 129, 181 |
| 599, 4, 659, 3, 181 |
Multiply the prime numbers at the bottom and the left side.
3 x 43 x 599 x 4 x 659 x 3 x 181 = 110601691308
Therefore, the lowest common multiple of 599,516,659,387,543 is 110601691308.
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.
599 x 516 x 659 x 387 x 543 = 42802854536196
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.
599 : 1, 599
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
659 : 1, 659
387 : 1, 3, 9, 43, 129, 387
543 : 1, 3, 181, 543
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,516,659,387,543, is 1.
Now, the common factors can be found like this.
599:599
516:2x 2x 3x 43
659:659
387:3x 3x 43
543:3x 181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 43 = 387
Therefore, the value for common factors is 387.
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 = 42802854536196/(1x387)
LCM = 42802854536196/387
LCM = 110601691308
Thus, we can understand that the LCM of 599,516,659,387,543 is 110601691308.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 599, 516, 659, 387, 543
1. What is the LCM of 599, 516, 659, 387, 543?
Answer: LCM of 599, 516, 659, 387, 543 is 110601691308.
2. How to calculate the LCM of 599, 516, 659, 387, 543?
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 599, 516, 659, 387, 543.
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}.