LCM of 770, 330, 860, 672, 823
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 330, 860, 672, 823 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 770, 330, 860, 672, 823. So, keep reading to learn more.
Given numbers are 770,330,860,672,823
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,330,860,672,823 is 1307977440.
Find LCM of 770,330,860,672,823 with Prime Factorization
| 2 | 770, 330, 860, 672, 823 |
| 2 | 385, 165, 430, 336, 823 |
| 3 | 385, 165, 215, 168, 823 |
| 5 | 385, 55, 215, 56, 823 |
| 7 | 77, 11, 43, 56, 823 |
| 11 | 11, 11, 43, 8, 823 |
| 1, 1, 43, 8, 823 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 11 x 1 x 1 x 43 x 8 x 823 = 1307977440
Therefore, the lowest common multiple of 770,330,860,672,823 is 1307977440.
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.
770 x 330 x 860 x 672 x 823 = 120857115456000
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
823 : 1, 823
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,330,860,672,823, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
330:2x 3x 5x 11
860:2x 2x 5x 43
672:2x 2x 2x 2x 2x 3x 7
823:823
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 3x 5x 5x 7x 11 = 92400
Therefore, the value for common factors is 92400.
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 = 120857115456000/(1x92400)
LCM = 120857115456000/92400
LCM = 1307977440
Thus, we can understand that the LCM of 770,330,860,672,823 is 1307977440.
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FAQs on LCM of 770, 330, 860, 672, 823
1. What is the LCM of 770, 330, 860, 672, 823?
Answer: LCM of 770, 330, 860, 672, 823 is 1307977440.
2. How to calculate the LCM of 770, 330, 860, 672, 823?
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 770, 330, 860, 672, 823.
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}.