LCM of 230, 771, 210, 519, 489
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 771, 210, 519, 489 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 230, 771, 210, 519, 489. So, keep reading to learn more.
Given numbers are 230,771,210,519,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,771,210,519,489 is 35003700690.
Find LCM of 230,771,210,519,489 with Prime Factorization
| 2 | 230, 771, 210, 519, 489 |
| 3 | 115, 771, 105, 519, 489 |
| 5 | 115, 257, 35, 173, 163 |
| 23, 257, 7, 173, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 257 x 7 x 173 x 163 = 35003700690
Therefore, the lowest common multiple of 230,771,210,519,489 is 35003700690.
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.
230 x 771 x 210 x 519 x 489 = 9450999186300
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
771 : 1, 3, 257, 771
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
519 : 1, 3, 173, 519
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,771,210,519,489, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
771:3x 257
210:2x 3x 5x 7
519:3x 173
489:3x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 9450999186300/(1x270)
LCM = 9450999186300/270
LCM = 35003700690
Thus, we can understand that the LCM of 230,771,210,519,489 is 35003700690.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 230, 771, 210, 519, 489
1. What is the LCM of 230, 771, 210, 519, 489?
Answer: LCM of 230, 771, 210, 519, 489 is 35003700690.
2. How to calculate the LCM of 230, 771, 210, 519, 489?
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 230, 771, 210, 519, 489.
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}.