LCM of 589, 200, 350, 874, 702
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 200, 350, 874, 702 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 589, 200, 350, 874, 702. So, keep reading to learn more.
Given numbers are 589,200,350,874,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,200,350,874,702 is 6656995800.
Find LCM of 589,200,350,874,702 with Prime Factorization
| 2 | 589, 200, 350, 874, 702 |
| 5 | 589, 100, 175, 437, 351 |
| 5 | 589, 20, 35, 437, 351 |
| 19 | 589, 4, 7, 437, 351 |
| 31, 4, 7, 23, 351 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 19 x 31 x 4 x 7 x 23 x 351 = 6656995800
Therefore, the lowest common multiple of 589,200,350,874,702 is 6656995800.
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.
589 x 200 x 350 x 874 x 702 = 25296584040000
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.
589 : 1, 19, 31, 589
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
874 : 1, 2, 19, 23, 38, 46, 437, 874
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,200,350,874,702, is 1.
Now, the common factors can be found like this.
589:19x 31
200:2x 2x 2x 5x 5
350:2x 5x 5x 7
874:2x 19x 23
702:2x 3x 3x 3x 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 2x 5x 5x 19 = 3800
Therefore, the value for common factors is 3800.
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 = 25296584040000/(1x3800)
LCM = 25296584040000/3800
LCM = 6656995800
Thus, we can understand that the LCM of 589,200,350,874,702 is 6656995800.
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FAQs on LCM of 589, 200, 350, 874, 702
1. What is the LCM of 589, 200, 350, 874, 702?
Answer: LCM of 589, 200, 350, 874, 702 is 6656995800.
2. How to calculate the LCM of 589, 200, 350, 874, 702?
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 589, 200, 350, 874, 702.
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}.