LCM of 691, 614, 555, 393, 721
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 691, 614, 555, 393, 721 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 691, 614, 555, 393, 721. So, keep reading to learn more.
Given numbers are 691,614,555,393,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 691,614,555,393,721 is 22240572483570.
Find LCM of 691,614,555,393,721 with Prime Factorization
| 3 | 691, 614, 555, 393, 721 |
| 691, 614, 185, 131, 721 |
Multiply the prime numbers at the bottom and the left side.
3 x 691 x 614 x 185 x 131 x 721 = 22240572483570
Therefore, the lowest common multiple of 691,614,555,393,721 is 22240572483570.
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.
691 x 614 x 555 x 393 x 721 = 66721717450710
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.
691 : 1, 691
614 : 1, 2, 307, 614
555 : 1, 3, 5, 15, 37, 111, 185, 555
393 : 1, 3, 131, 393
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 691,614,555,393,721, is 1.
Now, the common factors can be found like this.
691:691
614:2x 307
555:3x 5x 37
393:3x 131
721:7x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 66721717450710/(1x3)
LCM = 66721717450710/3
LCM = 22240572483570
Thus, we can understand that the LCM of 691,614,555,393,721 is 22240572483570.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 691, 614, 555, 393, 721
1. What is the LCM of 691, 614, 555, 393, 721?
Answer: LCM of 691, 614, 555, 393, 721 is 22240572483570.
2. How to calculate the LCM of 691, 614, 555, 393, 721?
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 691, 614, 555, 393, 721.
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}.