Find the LCM of 472, 569, 295, 561, 553 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 472, 569, 295, 561, 553. So, keep reading to learn more.
Given numbers are 472,569,295,561,553
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 472,569,295,561,553 is 416593281720.
Find LCM of 472,569,295,561,553 with Prime Factorization
59 | 472, 569, 295, 561, 553 |
8, 569, 5, 561, 553 |
Multiply the prime numbers at the bottom and the left side.
59 x 8 x 569 x 5 x 561 x 553 = 416593281720
Therefore, the lowest common multiple of 472,569,295,561,553 is 416593281720.
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.
472 x 569 x 295 x 561 x 553 = 24579003621480
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.
472 : 1, 2, 4, 8, 59, 118, 236, 472
569 : 1, 569
295 : 1, 5, 59, 295
561 : 1, 3, 11, 17, 33, 51, 187, 561
553 : 1, 7, 79, 553
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,569,295,561,553, is 1.
Now, the common factors can be found like this.
472:2x 2x 2x 59
569:569
295:5x 59
561:3x 11x 17
553:7x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
59 = 59
Therefore, the value for common factors is 59.
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 = 24579003621480/(1x59)
LCM = 24579003621480/59
LCM = 416593281720
Thus, we can understand that the LCM of 472,569,295,561,553 is 416593281720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 472, 569, 295, 561, 553?
Answer: LCM of 472, 569, 295, 561, 553 is 416593281720.
2. How to calculate the LCM of 472, 569, 295, 561, 553?
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 472, 569, 295, 561, 553.
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}.