Find the LCM of 609, 703, 693, 528, 427 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, 703, 693, 528, 427. So, keep reading to learn more.
Given numbers are 609,703,693,528,427
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 609,703,693,528,427 is 13789114416.
Find LCM of 609,703,693,528,427 with Prime Factorization
3 | 609, 703, 693, 528, 427 |
7 | 203, 703, 231, 176, 427 |
11 | 29, 703, 33, 176, 61 |
29, 703, 3, 16, 61 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 29 x 703 x 3 x 16 x 61 = 13789114416
Therefore, the lowest common multiple of 609,703,693,528,427 is 13789114416.
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 703 x 693 x 528 x 427 = 66890994032016
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
703 : 1, 19, 37, 703
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
427 : 1, 7, 61, 427
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,703,693,528,427, is 1.
Now, the common factors can be found like this.
609:3x 7x 29
703:19x 37
693:3x 3x 7x 11
528:2x 2x 2x 2x 3x 11
427:7x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 7x 11 = 4851
Therefore, the value for common factors is 4851.
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 = 66890994032016/(1x4851)
LCM = 66890994032016/4851
LCM = 13789114416
Thus, we can understand that the LCM of 609,703,693,528,427 is 13789114416.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 609, 703, 693, 528, 427?
Answer: LCM of 609, 703, 693, 528, 427 is 13789114416.
2. How to calculate the LCM of 609, 703, 693, 528, 427?
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, 703, 693, 528, 427.
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}.