LCM of 486, 600, 314, 309, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 600, 314, 309, 214 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 486, 600, 314, 309, 214. So, keep reading to learn more.
Given numbers are 486,600,314,309,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,600,314,309,214 is 84092434200.
Find LCM of 486,600,314,309,214 with Prime Factorization
| 2 | 486, 600, 314, 309, 214 |
| 3 | 243, 300, 157, 309, 107 |
| 81, 100, 157, 103, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 81 x 100 x 157 x 103 x 107 = 84092434200
Therefore, the lowest common multiple of 486,600,314,309,214 is 84092434200.
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.
486 x 600 x 314 x 309 x 214 = 6054655262400
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
314 : 1, 2, 157, 314
309 : 1, 3, 103, 309
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,600,314,309,214, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
600:2x 2x 2x 3x 5x 5
314:2x 157
309:3x 103
214:2x 107
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 = 6054655262400/(1x72)
LCM = 6054655262400/72
LCM = 84092434200
Thus, we can understand that the LCM of 486,600,314,309,214 is 84092434200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 486, 600, 314, 309, 214
1. What is the LCM of 486, 600, 314, 309, 214?
Answer: LCM of 486, 600, 314, 309, 214 is 84092434200.
2. How to calculate the LCM of 486, 600, 314, 309, 214?
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 486, 600, 314, 309, 214.
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}.