LCM of 494, 646, 420, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 494, 646, 420, 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 494, 646, 420, 214. So, keep reading to learn more.
Given numbers are 494,646,420,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,646,420,214 is 188703060.
Find LCM of 494,646,420,214 with Prime Factorization
| 2 | 494, 646, 420, 214 |
| 19 | 247, 323, 210, 107 |
| 13, 17, 210, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 13 x 17 x 210 x 107 = 188703060
Therefore, the lowest common multiple of 494,646,420,214 is 188703060.
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.
494 x 646 x 420 x 214 = 28682865120
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
646 : 1, 2, 17, 19, 34, 38, 323, 646
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
214 : 1, 2, 107, 214
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,646,420,214, is 2.
Now, the common factors can be found like this.
494:2x 13x 19
646:2x 17x 19
420:2x 2x 3x 5x 7
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 19 = 76
Therefore, the value for common factors is 76.
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 = 28682865120/(2x76)
LCM = 28682865120/152
LCM = 188703060
Thus, we can understand that the LCM of 494,646,420,214 is 188703060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 494, 646, 420, 214
1. What is the LCM of 494, 646, 420, 214?
Answer: LCM of 494, 646, 420, 214 is 188703060.
2. How to calculate the LCM of 494, 646, 420, 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 494, 646, 420, 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}.