LCM of 642, 656, 144, 562, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 656, 144, 562, 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 642, 656, 144, 562, 214. So, keep reading to learn more.
Given numbers are 642,656,144,562,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,656,144,562,214 is 177515568.
Find LCM of 642,656,144,562,214 with Prime Factorization
| 2 | 642, 656, 144, 562, 214 |
| 2 | 321, 328, 72, 281, 107 |
| 2 | 321, 164, 36, 281, 107 |
| 2 | 321, 82, 18, 281, 107 |
| 3 | 321, 41, 9, 281, 107 |
| 107 | 107, 41, 3, 281, 107 |
| 1, 41, 3, 281, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 107 x 1 x 41 x 3 x 281 x 1 = 177515568
Therefore, the lowest common multiple of 642,656,144,562,214 is 177515568.
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.
642 x 656 x 144 x 562 x 214 = 7293759657984
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
562 : 1, 2, 281, 562
214 : 1, 2, 107, 214
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,656,144,562,214, is 2.
Now, the common factors can be found like this.
642:2x 3x 107
656:2x 2x 2x 2x 41
144:2x 2x 2x 2x 3x 3
562:2x 281
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 2x 2x 2x 3x 107 = 20544
Therefore, the value for common factors is 20544.
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 = 7293759657984/(2x20544)
LCM = 7293759657984/41088
LCM = 177515568
Thus, we can understand that the LCM of 642,656,144,562,214 is 177515568.
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FAQs on LCM of 642, 656, 144, 562, 214
1. What is the LCM of 642, 656, 144, 562, 214?
Answer: LCM of 642, 656, 144, 562, 214 is 177515568.
2. How to calculate the LCM of 642, 656, 144, 562, 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 642, 656, 144, 562, 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}.