LCM of 689, 164, 923, 296, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 164, 923, 296, 874 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 689, 164, 923, 296, 874. So, keep reading to learn more.
Given numbers are 689,164,923,296,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,164,923,296,874 is 259438590008.
Find LCM of 689,164,923,296,874 with Prime Factorization
| 2 | 689, 164, 923, 296, 874 |
| 2 | 689, 82, 923, 148, 437 |
| 13 | 689, 41, 923, 74, 437 |
| 53, 41, 71, 74, 437 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 53 x 41 x 71 x 74 x 437 = 259438590008
Therefore, the lowest common multiple of 689,164,923,296,874 is 259438590008.
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.
689 x 164 x 923 x 296 x 874 = 26981613360832
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.
689 : 1, 13, 53, 689
164 : 1, 2, 4, 41, 82, 164
923 : 1, 13, 71, 923
296 : 1, 2, 4, 8, 37, 74, 148, 296
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,164,923,296,874, is 1.
Now, the common factors can be found like this.
689:13x 53
164:2x 2x 41
923:13x 71
296:2x 2x 2x 37
874:2x 19x 23
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 13 = 104
Therefore, the value for common factors is 104.
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 = 26981613360832/(1x104)
LCM = 26981613360832/104
LCM = 259438590008
Thus, we can understand that the LCM of 689,164,923,296,874 is 259438590008.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 689, 164, 923, 296, 874
1. What is the LCM of 689, 164, 923, 296, 874?
Answer: LCM of 689, 164, 923, 296, 874 is 259438590008.
2. How to calculate the LCM of 689, 164, 923, 296, 874?
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 689, 164, 923, 296, 874.
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}.