LCM of 589, 290, 210, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 290, 210, 900 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, 290, 210, 900. So, keep reading to learn more.
Given numbers are 589,290,210,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,290,210,900 is 107610300.
Find LCM of 589,290,210,900 with Prime Factorization
| 2 | 589, 290, 210, 900 |
| 3 | 589, 145, 105, 450 |
| 5 | 589, 145, 35, 150 |
| 589, 29, 7, 30 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 589 x 29 x 7 x 30 = 107610300
Therefore, the lowest common multiple of 589,290,210,900 is 107610300.
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 290 x 210 x 900 = 32283090000
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
290 : 1, 2, 5, 10, 29, 58, 145, 290
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,290,210,900, is 1.
Now, the common factors can be found like this.
589:19x 31
290:2x 5x 29
210:2x 3x 5x 7
900:2x 2x 3x 3x 5x 5
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 5x 5 = 300
Therefore, the value for common factors is 300.
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 = 32283090000/(1x300)
LCM = 32283090000/300
LCM = 107610300
Thus, we can understand that the LCM of 589,290,210,900 is 107610300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 589, 290, 210, 900
1. What is the LCM of 589, 290, 210, 900?
Answer: LCM of 589, 290, 210, 900 is 107610300.
2. How to calculate the LCM of 589, 290, 210, 900?
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, 290, 210, 900.
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}.