Find the LCM of 569, 322, 113, 570 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 569, 322, 113, 570. So, keep reading to learn more.
Given numbers are 569,322,113,570
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 569,322,113,570 is 5900535690.
Find LCM of 569,322,113,570 with Prime Factorization
2 | 569, 322, 113, 570 |
569, 161, 113, 285 |
Multiply the prime numbers at the bottom and the left side.
2 x 569 x 161 x 113 x 285 = 5900535690
Therefore, the lowest common multiple of 569,322,113,570 is 5900535690.
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.
569 x 322 x 113 x 570 = 11801071380
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.
569 : 1, 569
322 : 1, 2, 7, 14, 23, 46, 161, 322
113 : 1, 113
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 569,322,113,570, is 1.
Now, the common factors can be found like this.
569:569
322:2x 7x 23
113:113
570:2x 3x 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.
2 = 2
Therefore, the value for common factors is 2.
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 = 11801071380/(1x2)
LCM = 11801071380/2
LCM = 5900535690
Thus, we can understand that the LCM of 569,322,113,570 is 5900535690.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 569, 322, 113, 570?
Answer: LCM of 569, 322, 113, 570 is 5900535690.
2. How to calculate the LCM of 569, 322, 113, 570?
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 569, 322, 113, 570.
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}.