LCM of 549, 305, 803, 483, 805
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 305, 803, 483, 805 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, 305, 803, 483, 805. So, keep reading to learn more.
Given numbers are 549,305,803,483,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,305,803,483,805 is 354881835.
Find LCM of 549,305,803,483,805 with Prime Factorization
| 3 | 549, 305, 803, 483, 805 |
| 5 | 183, 305, 803, 161, 805 |
| 7 | 183, 61, 803, 161, 161 |
| 23 | 183, 61, 803, 23, 23 |
| 61 | 183, 61, 803, 1, 1 |
| 3, 1, 803, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 23 x 61 x 3 x 1 x 803 x 1 x 1 = 354881835
Therefore, the lowest common multiple of 549,305,803,483,805 is 354881835.
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 305 x 803 x 483 x 805 = 52279417523025
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
305 : 1, 5, 61, 305
803 : 1, 11, 73, 803
483 : 1, 3, 7, 21, 23, 69, 161, 483
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,305,803,483,805, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
305:5x 61
803:11x 73
483:3x 7x 23
805:5x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7x 23x 61 = 147315
Therefore, the value for common factors is 147315.
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 = 52279417523025/(1x147315)
LCM = 52279417523025/147315
LCM = 354881835
Thus, we can understand that the LCM of 549,305,803,483,805 is 354881835.
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FAQs on LCM of 549, 305, 803, 483, 805
1. What is the LCM of 549, 305, 803, 483, 805?
Answer: LCM of 549, 305, 803, 483, 805 is 354881835.
2. How to calculate the LCM of 549, 305, 803, 483, 805?
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, 305, 803, 483, 805.
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}.