LCM of 805, 519, 483, 359
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 805, 519, 483, 359 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 805, 519, 483, 359. So, keep reading to learn more.
Given numbers are 805,519,483,359
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 805,519,483,359 is 149988405.
Find LCM of 805,519,483,359 with Prime Factorization
| 3 | 805, 519, 483, 359 |
| 7 | 805, 173, 161, 359 |
| 23 | 115, 173, 23, 359 |
| 5, 173, 1, 359 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 23 x 5 x 173 x 1 x 359 = 149988405
Therefore, the lowest common multiple of 805,519,483,359 is 149988405.
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.
805 x 519 x 483 x 359 = 72444399615
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.
805 : 1, 5, 7, 23, 35, 115, 161, 805
519 : 1, 3, 173, 519
483 : 1, 3, 7, 21, 23, 69, 161, 483
359 : 1, 359
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,519,483,359, is 1.
Now, the common factors can be found like this.
805:5x 7x 23
519:3x 173
483:3x 7x 23
359:359
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 23 = 483
Therefore, the value for common factors is 483.
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 = 72444399615/(1x483)
LCM = 72444399615/483
LCM = 149988405
Thus, we can understand that the LCM of 805,519,483,359 is 149988405.
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FAQs on LCM of 805, 519, 483, 359
1. What is the LCM of 805, 519, 483, 359?
Answer: LCM of 805, 519, 483, 359 is 149988405.
2. How to calculate the LCM of 805, 519, 483, 359?
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 805, 519, 483, 359.
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}.