Find the LCM of 483, 723, 308, 140, 595 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 483, 723, 308, 140, 595. So, keep reading to learn more.
Given numbers are 483,723,308,140,595
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 483,723,308,140,595 is 435347220.
Find LCM of 483,723,308,140,595 with Prime Factorization
2 | 483, 723, 308, 140, 595 |
2 | 483, 723, 154, 70, 595 |
3 | 483, 723, 77, 35, 595 |
5 | 161, 241, 77, 35, 595 |
7 | 161, 241, 77, 7, 119 |
23, 241, 11, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 23 x 241 x 11 x 1 x 17 = 435347220
Therefore, the lowest common multiple of 483,723,308,140,595 is 435347220.
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.
483 x 723 x 308 x 140 x 595 = 8959445787600
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.
483 : 1, 3, 7, 21, 23, 69, 161, 483
723 : 1, 3, 241, 723
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
595 : 1, 5, 7, 17, 35, 85, 119, 595
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 483,723,308,140,595, is 1.
Now, the common factors can be found like this.
483:3x 7x 23
723:3x 241
308:2x 2x 7x 11
140:2x 2x 5x 7
595:5x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 5x 7x 7x 7 = 20580
Therefore, the value for common factors is 20580.
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 = 8959445787600/(1x20580)
LCM = 8959445787600/20580
LCM = 435347220
Thus, we can understand that the LCM of 483,723,308,140,595 is 435347220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 483, 723, 308, 140, 595?
Answer: LCM of 483, 723, 308, 140, 595 is 435347220.
2. How to calculate the LCM of 483, 723, 308, 140, 595?
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 483, 723, 308, 140, 595.
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}.