LCM of 218, 450, 482, 306, 257
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 218, 450, 482, 306, 257 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 218, 450, 482, 306, 257. So, keep reading to learn more.
Given numbers are 218,450,482,306,257
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,450,482,306,257 is 51646167450.
Find LCM of 218,450,482,306,257 with Prime Factorization
| 2 | 218, 450, 482, 306, 257 |
| 3 | 109, 225, 241, 153, 257 |
| 3 | 109, 75, 241, 51, 257 |
| 109, 25, 241, 17, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 109 x 25 x 241 x 17 x 257 = 51646167450
Therefore, the lowest common multiple of 218,450,482,306,257 is 51646167450.
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.
218 x 450 x 482 x 306 x 257 = 3718524056400
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.
218 : 1, 2, 109, 218
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
482 : 1, 2, 241, 482
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
257 : 1, 257
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,450,482,306,257, is 1.
Now, the common factors can be found like this.
218:2x 109
450:2x 3x 3x 5x 5
482:2x 241
306:2x 3x 3x 17
257:257
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 3 = 72
Therefore, the value for common factors is 72.
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 = 3718524056400/(1x72)
LCM = 3718524056400/72
LCM = 51646167450
Thus, we can understand that the LCM of 218,450,482,306,257 is 51646167450.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 218, 450, 482, 306, 257
1. What is the LCM of 218, 450, 482, 306, 257?
Answer: LCM of 218, 450, 482, 306, 257 is 51646167450.
2. How to calculate the LCM of 218, 450, 482, 306, 257?
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 218, 450, 482, 306, 257.
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}.