LCM of 705, 864, 203, 989, 721
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 864, 203, 989, 721 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 705, 864, 203, 989, 721. So, keep reading to learn more.
Given numbers are 705,864,203,989,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,864,203,989,721 is 4198664363040.
Find LCM of 705,864,203,989,721 with Prime Factorization
| 3 | 705, 864, 203, 989, 721 |
| 7 | 235, 288, 203, 989, 721 |
| 235, 288, 29, 989, 103 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 235 x 288 x 29 x 989 x 103 = 4198664363040
Therefore, the lowest common multiple of 705,864,203,989,721 is 4198664363040.
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.
705 x 864 x 203 x 989 x 721 = 88171951623840
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
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
203 : 1, 7, 29, 203
989 : 1, 23, 43, 989
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,864,203,989,721, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
864:2x 2x 2x 2x 2x 3x 3x 3
203:7x 29
989:23x 43
721:7x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 88171951623840/(1x21)
LCM = 88171951623840/21
LCM = 4198664363040
Thus, we can understand that the LCM of 705,864,203,989,721 is 4198664363040.
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FAQs on LCM of 705, 864, 203, 989, 721
1. What is the LCM of 705, 864, 203, 989, 721?
Answer: LCM of 705, 864, 203, 989, 721 is 4198664363040.
2. How to calculate the LCM of 705, 864, 203, 989, 721?
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 705, 864, 203, 989, 721.
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}.