LCM of 246, 943, 323, 765, 890
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 246, 943, 323, 765, 890 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 246, 943, 323, 765, 890. So, keep reading to learn more.
Given numbers are 246,943,323,765,890
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 246,943,323,765,890 is 2439757890.
Find LCM of 246,943,323,765,890 with Prime Factorization
| 2 | 246, 943, 323, 765, 890 |
| 3 | 123, 943, 323, 765, 445 |
| 5 | 41, 943, 323, 255, 445 |
| 17 | 41, 943, 323, 51, 89 |
| 41 | 41, 943, 19, 3, 89 |
| 1, 23, 19, 3, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 41 x 1 x 23 x 19 x 3 x 89 = 2439757890
Therefore, the lowest common multiple of 246,943,323,765,890 is 2439757890.
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.
246 x 943 x 323 x 765 x 890 = 51015337479900
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.
246 : 1, 2, 3, 6, 41, 82, 123, 246
943 : 1, 23, 41, 943
323 : 1, 17, 19, 323
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
890 : 1, 2, 5, 10, 89, 178, 445, 890
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 246,943,323,765,890, is 1.
Now, the common factors can be found like this.
246:2x 3x 41
943:23x 41
323:17x 19
765:3x 3x 5x 17
890:2x 5x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 17x 41 = 20910
Therefore, the value for common factors is 20910.
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 = 51015337479900/(1x20910)
LCM = 51015337479900/20910
LCM = 2439757890
Thus, we can understand that the LCM of 246,943,323,765,890 is 2439757890.
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FAQs on LCM of 246, 943, 323, 765, 890
1. What is the LCM of 246, 943, 323, 765, 890?
Answer: LCM of 246, 943, 323, 765, 890 is 2439757890.
2. How to calculate the LCM of 246, 943, 323, 765, 890?
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 246, 943, 323, 765, 890.
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}.