LCM of 706, 884, 692, 356, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 706, 884, 692, 356, 923 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 706, 884, 692, 356, 923. So, keep reading to learn more.
Given numbers are 706,884,692,356,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,884,692,356,923 is 341131189724.
Find LCM of 706,884,692,356,923 with Prime Factorization
| 2 | 706, 884, 692, 356, 923 |
| 2 | 353, 442, 346, 178, 923 |
| 13 | 353, 221, 173, 89, 923 |
| 353, 17, 173, 89, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 353 x 17 x 173 x 89 x 71 = 341131189724
Therefore, the lowest common multiple of 706,884,692,356,923 is 341131189724.
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.
706 x 884 x 692 x 356 x 923 = 141910574925184
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.
706 : 1, 2, 353, 706
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
692 : 1, 2, 4, 173, 346, 692
356 : 1, 2, 4, 89, 178, 356
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,884,692,356,923, is 1.
Now, the common factors can be found like this.
706:2x 353
884:2x 2x 13x 17
692:2x 2x 173
356:2x 2x 89
923:13x 71
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 13 = 416
Therefore, the value for common factors is 416.
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 = 141910574925184/(1x416)
LCM = 141910574925184/416
LCM = 341131189724
Thus, we can understand that the LCM of 706,884,692,356,923 is 341131189724.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 706, 884, 692, 356, 923
1. What is the LCM of 706, 884, 692, 356, 923?
Answer: LCM of 706, 884, 692, 356, 923 is 341131189724.
2. How to calculate the LCM of 706, 884, 692, 356, 923?
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 706, 884, 692, 356, 923.
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}.