LCM of 703, 164, 443, 407, 706
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 703, 164, 443, 407, 706 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 703, 164, 443, 407, 706. So, keep reading to learn more.
Given numbers are 703,164,443,407,706
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,164,443,407,706 is 198321724348.
Find LCM of 703,164,443,407,706 with Prime Factorization
| 2 | 703, 164, 443, 407, 706 |
| 37 | 703, 82, 443, 407, 353 |
| 19, 82, 443, 11, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 37 x 19 x 82 x 443 x 11 x 353 = 198321724348
Therefore, the lowest common multiple of 703,164,443,407,706 is 198321724348.
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.
703 x 164 x 443 x 407 x 706 = 14675807601752
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.
703 : 1, 19, 37, 703
164 : 1, 2, 4, 41, 82, 164
443 : 1, 443
407 : 1, 11, 37, 407
706 : 1, 2, 353, 706
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,164,443,407,706, is 1.
Now, the common factors can be found like this.
703:19x 37
164:2x 2x 41
443:443
407:11x 37
706:2x 353
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 37 = 74
Therefore, the value for common factors is 74.
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 = 14675807601752/(1x74)
LCM = 14675807601752/74
LCM = 198321724348
Thus, we can understand that the LCM of 703,164,443,407,706 is 198321724348.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 703, 164, 443, 407, 706
1. What is the LCM of 703, 164, 443, 407, 706?
Answer: LCM of 703, 164, 443, 407, 706 is 198321724348.
2. How to calculate the LCM of 703, 164, 443, 407, 706?
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 703, 164, 443, 407, 706.
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}.