LCM of 549, 701, 706, 996, 706
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 701, 706, 996, 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 549, 701, 706, 996, 706. So, keep reading to learn more.
Given numbers are 549,701,706,996,706
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,701,706,996,706 is 45102763404.
Find LCM of 549,701,706,996,706 with Prime Factorization
| 2 | 549, 701, 706, 996, 706 |
| 3 | 549, 701, 353, 498, 353 |
| 353 | 183, 701, 353, 166, 353 |
| 183, 701, 1, 166, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 353 x 183 x 701 x 1 x 166 x 1 = 45102763404
Therefore, the lowest common multiple of 549,701,706,996,706 is 45102763404.
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.
549 x 701 x 706 x 996 x 706 = 191055305779344
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.
549 : 1, 3, 9, 61, 183, 549
701 : 1, 701
706 : 1, 2, 353, 706
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
706 : 1, 2, 353, 706
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,701,706,996,706, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
701:701
706:2x 353
996:2x 2x 3x 83
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 2x 3x 353 = 4236
Therefore, the value for common factors is 4236.
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 = 191055305779344/(1x4236)
LCM = 191055305779344/4236
LCM = 45102763404
Thus, we can understand that the LCM of 549,701,706,996,706 is 45102763404.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 549, 701, 706, 996, 706
1. What is the LCM of 549, 701, 706, 996, 706?
Answer: LCM of 549, 701, 706, 996, 706 is 45102763404.
2. How to calculate the LCM of 549, 701, 706, 996, 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 549, 701, 706, 996, 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}.