LCM of 616, 723, 989, 616, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 723, 989, 616, 864 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 616, 723, 989, 616, 864. So, keep reading to learn more.
Given numbers are 616,723,989,616,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,723,989,616,864 is 15856882272.
Find LCM of 616,723,989,616,864 with Prime Factorization
| 2 | 616, 723, 989, 616, 864 |
| 2 | 308, 723, 989, 308, 432 |
| 2 | 154, 723, 989, 154, 216 |
| 3 | 77, 723, 989, 77, 108 |
| 7 | 77, 241, 989, 77, 36 |
| 11 | 11, 241, 989, 11, 36 |
| 1, 241, 989, 1, 36 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 11 x 1 x 241 x 989 x 1 x 36 = 15856882272
Therefore, the lowest common multiple of 616,723,989,616,864 is 15856882272.
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.
616 x 723 x 989 x 616 x 864 = 234428147509248
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
723 : 1, 3, 241, 723
989 : 1, 23, 43, 989
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,723,989,616,864, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
723:3x 241
989:23x 43
616:2x 2x 2x 7x 11
864:2x 2x 2x 2x 2x 3x 3x 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 2x 3x 7x 11 = 14784
Therefore, the value for common factors is 14784.
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 = 234428147509248/(1x14784)
LCM = 234428147509248/14784
LCM = 15856882272
Thus, we can understand that the LCM of 616,723,989,616,864 is 15856882272.
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FAQs on LCM of 616, 723, 989, 616, 864
1. What is the LCM of 616, 723, 989, 616, 864?
Answer: LCM of 616, 723, 989, 616, 864 is 15856882272.
2. How to calculate the LCM of 616, 723, 989, 616, 864?
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 616, 723, 989, 616, 864.
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}.