LCM of 321, 726, 363, 778, 535
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 321, 726, 363, 778, 535 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 321, 726, 363, 778, 535. So, keep reading to learn more.
Given numbers are 321,726,363,778,535
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,726,363,778,535 is 151091490.
Find LCM of 321,726,363,778,535 with Prime Factorization
| 2 | 321, 726, 363, 778, 535 |
| 3 | 321, 363, 363, 389, 535 |
| 11 | 107, 121, 121, 389, 535 |
| 11 | 107, 11, 11, 389, 535 |
| 107 | 107, 1, 1, 389, 535 |
| 1, 1, 1, 389, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 11 x 107 x 1 x 1 x 1 x 389 x 5 = 151091490
Therefore, the lowest common multiple of 321,726,363,778,535 is 151091490.
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.
321 x 726 x 363 x 778 x 535 = 35211267378540
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.
321 : 1, 3, 107, 321
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
363 : 1, 3, 11, 33, 121, 363
778 : 1, 2, 389, 778
535 : 1, 5, 107, 535
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,726,363,778,535, is 1.
Now, the common factors can be found like this.
321:3x 107
726:2x 3x 11x 11
363:3x 11x 11
778:2x 389
535:5x 107
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 3x 11x 11x 107 = 233046
Therefore, the value for common factors is 233046.
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 = 35211267378540/(1x233046)
LCM = 35211267378540/233046
LCM = 151091490
Thus, we can understand that the LCM of 321,726,363,778,535 is 151091490.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 321, 726, 363, 778, 535
1. What is the LCM of 321, 726, 363, 778, 535?
Answer: LCM of 321, 726, 363, 778, 535 is 151091490.
2. How to calculate the LCM of 321, 726, 363, 778, 535?
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 321, 726, 363, 778, 535.
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}.