LCM of 642, 860, 680, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 860, 680, 768 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, 860, 680, 768. So, keep reading to learn more.
Given numbers are 642,860,680,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,860,680,768 is 300353280.
Find LCM of 642,860,680,768 with Prime Factorization
| 2 | 642, 860, 680, 768 |
| 2 | 321, 430, 340, 384 |
| 2 | 321, 215, 170, 192 |
| 3 | 321, 215, 85, 96 |
| 5 | 107, 215, 85, 32 |
| 107, 43, 17, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 107 x 43 x 17 x 32 = 300353280
Therefore, the lowest common multiple of 642,860,680,768 is 300353280.
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 860 x 680 x 768 = 288339148800
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
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,860,680,768, is 2.
Now, the common factors can be found like this.
642:2x 3x 107
860:2x 2x 5x 43
680:2x 2x 2x 5x 17
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 3x 5 = 480
Therefore, the value for common factors is 480.
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 = 288339148800/(2x480)
LCM = 288339148800/960
LCM = 300353280
Thus, we can understand that the LCM of 642,860,680,768 is 300353280.
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FAQs on LCM of 642, 860, 680, 768
1. What is the LCM of 642, 860, 680, 768?
Answer: LCM of 642, 860, 680, 768 is 300353280.
2. How to calculate the LCM of 642, 860, 680, 768?
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, 860, 680, 768.
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}.