Find the LCM of 609, 571, 343, 120, 760 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 609, 571, 343, 120, 760. So, keep reading to learn more.
Given numbers are 609,571,343,120,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 609,571,343,120,760 is 12949800360.
Find LCM of 609,571,343,120,760 with Prime Factorization
2 | 609, 571, 343, 120, 760 |
2 | 609, 571, 343, 60, 380 |
2 | 609, 571, 343, 30, 190 |
3 | 609, 571, 343, 15, 95 |
5 | 203, 571, 343, 5, 95 |
7 | 203, 571, 343, 1, 19 |
29, 571, 49, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 29 x 571 x 49 x 1 x 19 = 12949800360
Therefore, the lowest common multiple of 609,571,343,120,760 is 12949800360.
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.
609 x 571 x 343 x 120 x 760 = 10877832302400
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.
609 : 1, 3, 7, 21, 29, 87, 203, 609
571 : 1, 571
343 : 1, 7, 49, 343
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,571,343,120,760, is 1.
Now, the common factors can be found like this.
609:3x 7x 29
571:571
343:7x 7x 7
120:2x 2x 2x 3x 5
760:2x 2x 2x 5x 19
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 2x 3x 5x 7 = 840
Therefore, the value for common factors is 840.
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 = 10877832302400/(1x840)
LCM = 10877832302400/840
LCM = 12949800360
Thus, we can understand that the LCM of 609,571,343,120,760 is 12949800360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 609, 571, 343, 120, 760?
Answer: LCM of 609, 571, 343, 120, 760 is 12949800360.
2. How to calculate the LCM of 609, 571, 343, 120, 760?
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 609, 571, 343, 120, 760.
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}.