LCM of 240, 357, 527, 489, 213
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 240, 357, 527, 489, 213 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 240, 357, 527, 489, 213. So, keep reading to learn more.
Given numbers are 240,357,527,489,213
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,357,527,489,213 is 10246271280.
Find LCM of 240,357,527,489,213 with Prime Factorization
| 3 | 240, 357, 527, 489, 213 |
| 17 | 80, 119, 527, 163, 71 |
| 80, 7, 31, 163, 71 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 80 x 7 x 31 x 163 x 71 = 10246271280
Therefore, the lowest common multiple of 240,357,527,489,213 is 10246271280.
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.
240 x 357 x 527 x 489 x 213 = 4703038517520
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.
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
357 : 1, 3, 7, 17, 21, 51, 119, 357
527 : 1, 17, 31, 527
489 : 1, 3, 163, 489
213 : 1, 3, 71, 213
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,357,527,489,213, is 1.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
357:3x 7x 17
527:17x 31
489:3x 163
213:3x 71
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 3x 17 = 459
Therefore, the value for common factors is 459.
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 = 4703038517520/(1x459)
LCM = 4703038517520/459
LCM = 10246271280
Thus, we can understand that the LCM of 240,357,527,489,213 is 10246271280.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 240, 357, 527, 489, 213
1. What is the LCM of 240, 357, 527, 489, 213?
Answer: LCM of 240, 357, 527, 489, 213 is 10246271280.
2. How to calculate the LCM of 240, 357, 527, 489, 213?
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 240, 357, 527, 489, 213.
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}.