LCM of 843, 258, 656, 697
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 843, 258, 656, 697 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 843, 258, 656, 697. So, keep reading to learn more.
Given numbers are 843,258,656,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,258,656,697 is 404248848.
Find LCM of 843,258,656,697 with Prime Factorization
| 2 | 843, 258, 656, 697 |
| 3 | 843, 129, 328, 697 |
| 41 | 281, 43, 328, 697 |
| 281, 43, 8, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 41 x 281 x 43 x 8 x 17 = 404248848
Therefore, the lowest common multiple of 843,258,656,697 is 404248848.
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.
843 x 258 x 656 x 697 = 99445216608
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.
843 : 1, 3, 281, 843
258 : 1, 2, 3, 6, 43, 86, 129, 258
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,258,656,697, is 1.
Now, the common factors can be found like this.
843:3x 281
258:2x 3x 43
656:2x 2x 2x 2x 41
697:17x 41
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 41 = 246
Therefore, the value for common factors is 246.
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 = 99445216608/(1x246)
LCM = 99445216608/246
LCM = 404248848
Thus, we can understand that the LCM of 843,258,656,697 is 404248848.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 843, 258, 656, 697
1. What is the LCM of 843, 258, 656, 697?
Answer: LCM of 843, 258, 656, 697 is 404248848.
2. How to calculate the LCM of 843, 258, 656, 697?
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 843, 258, 656, 697.
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}.