LCM of 642, 306, 612, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 306, 612, 578 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, 306, 612, 578. So, keep reading to learn more.
Given numbers are 642,306,612,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,306,612,578 is 1113228.
Find LCM of 642,306,612,578 with Prime Factorization
| 2 | 642, 306, 612, 578 |
| 3 | 321, 153, 306, 289 |
| 3 | 107, 51, 102, 289 |
| 17 | 107, 17, 34, 289 |
| 107, 1, 2, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 107 x 1 x 2 x 17 = 1113228
Therefore, the lowest common multiple of 642,306,612,578 is 1113228.
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 306 x 612 x 578 = 69492144672
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
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
578 : 1, 2, 17, 34, 289, 578
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,306,612,578, is 2.
Now, the common factors can be found like this.
642:2x 3x 107
306:2x 3x 3x 17
612:2x 2x 3x 3x 17
578:2x 17x 17
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 3x 3x 3x 17x 17 = 31212
Therefore, the value for common factors is 31212.
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 = 69492144672/(2x31212)
LCM = 69492144672/62424
LCM = 1113228
Thus, we can understand that the LCM of 642,306,612,578 is 1113228.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 642, 306, 612, 578
1. What is the LCM of 642, 306, 612, 578?
Answer: LCM of 642, 306, 612, 578 is 1113228.
2. How to calculate the LCM of 642, 306, 612, 578?
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, 306, 612, 578.
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}.