LCM of 588, 200, 687, 759, 642
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 588, 200, 687, 759, 642 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 588, 200, 687, 759, 642. So, keep reading to learn more.
Given numbers are 588,200,687,759,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 588,200,687,759,642 is 182258214600.
Find LCM of 588,200,687,759,642 with Prime Factorization
| 2 | 588, 200, 687, 759, 642 |
| 2 | 294, 100, 687, 759, 321 |
| 3 | 147, 50, 687, 759, 321 |
| 49, 50, 229, 253, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 49 x 50 x 229 x 253 x 107 = 182258214600
Therefore, the lowest common multiple of 588,200,687,759,642 is 182258214600.
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.
588 x 200 x 687 x 759 x 642 = 39367774353600
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.
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
687 : 1, 3, 229, 687
759 : 1, 3, 11, 23, 33, 69, 253, 759
642 : 1, 2, 3, 6, 107, 214, 321, 642
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,200,687,759,642, is 1.
Now, the common factors can be found like this.
588:2x 2x 3x 7x 7
200:2x 2x 2x 5x 5
687:3x 229
759:3x 11x 23
642:2x 3x 107
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 39367774353600/(1x216)
LCM = 39367774353600/216
LCM = 182258214600
Thus, we can understand that the LCM of 588,200,687,759,642 is 182258214600.
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FAQs on LCM of 588, 200, 687, 759, 642
1. What is the LCM of 588, 200, 687, 759, 642?
Answer: LCM of 588, 200, 687, 759, 642 is 182258214600.
2. How to calculate the LCM of 588, 200, 687, 759, 642?
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 588, 200, 687, 759, 642.
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}.