LCM of 539, 774, 359, 706, 645
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 539, 774, 359, 706, 645 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 539, 774, 359, 706, 645. So, keep reading to learn more.
Given numbers are 539,774,359,706,645
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 539,774,359,706,645 is 264343651110.
Find LCM of 539,774,359,706,645 with Prime Factorization
| 2 | 539, 774, 359, 706, 645 |
| 3 | 539, 387, 359, 353, 645 |
| 43 | 539, 129, 359, 353, 215 |
| 539, 3, 359, 353, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 539 x 3 x 359 x 353 x 5 = 264343651110
Therefore, the lowest common multiple of 539,774,359,706,645 is 264343651110.
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.
539 x 774 x 359 x 706 x 645 = 68200661986380
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.
539 : 1, 7, 11, 49, 77, 539
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
359 : 1, 359
706 : 1, 2, 353, 706
645 : 1, 3, 5, 15, 43, 129, 215, 645
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,774,359,706,645, is 1.
Now, the common factors can be found like this.
539:7x 7x 11
774:2x 3x 3x 43
359:359
706:2x 353
645:3x 5x 43
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 43 = 258
Therefore, the value for common factors is 258.
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 = 68200661986380/(1x258)
LCM = 68200661986380/258
LCM = 264343651110
Thus, we can understand that the LCM of 539,774,359,706,645 is 264343651110.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 539, 774, 359, 706, 645
1. What is the LCM of 539, 774, 359, 706, 645?
Answer: LCM of 539, 774, 359, 706, 645 is 264343651110.
2. How to calculate the LCM of 539, 774, 359, 706, 645?
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 539, 774, 359, 706, 645.
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}.