Find the LCM of 530, 175, 652, 680, 561 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 530, 175, 652, 680, 561. So, keep reading to learn more.
Given numbers are 530,175,652,680,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 530,175,652,680,561 is 6785070600.
Find LCM of 530,175,652,680,561 with Prime Factorization
2 | 530, 175, 652, 680, 561 |
2 | 265, 175, 326, 340, 561 |
5 | 265, 175, 163, 170, 561 |
17 | 53, 35, 163, 34, 561 |
53, 35, 163, 2, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 53 x 35 x 163 x 2 x 33 = 6785070600
Therefore, the lowest common multiple of 530,175,652,680,561 is 6785070600.
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.
530 x 175 x 652 x 680 x 561 = 23069240040000
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.
530 : 1, 2, 5, 10, 53, 106, 265, 530
175 : 1, 5, 7, 25, 35, 175
652 : 1, 2, 4, 163, 326, 652
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,175,652,680,561, is 1.
Now, the common factors can be found like this.
530:2x 5x 53
175:5x 5x 7
652:2x 2x 163
680:2x 2x 2x 5x 17
561:3x 11x 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 2x 5x 5x 17 = 3400
Therefore, the value for common factors is 3400.
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 = 23069240040000/(1x3400)
LCM = 23069240040000/3400
LCM = 6785070600
Thus, we can understand that the LCM of 530,175,652,680,561 is 6785070600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 530, 175, 652, 680, 561?
Answer: LCM of 530, 175, 652, 680, 561 is 6785070600.
2. How to calculate the LCM of 530, 175, 652, 680, 561?
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 530, 175, 652, 680, 561.
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}.