Find the LCM of 659, 426, 450, 925, 659 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 659, 426, 450, 925, 659. So, keep reading to learn more.
Given numbers are 659,426,450,925,659
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 659,426,450,925,659 is 779036850.
Find LCM of 659,426,450,925,659 with Prime Factorization
2 | 659, 426, 450, 925, 659 |
3 | 659, 213, 225, 925, 659 |
5 | 659, 71, 75, 925, 659 |
5 | 659, 71, 15, 185, 659 |
659 | 659, 71, 3, 37, 659 |
1, 71, 3, 37, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 659 x 1 x 71 x 3 x 37 x 1 = 779036850
Therefore, the lowest common multiple of 659,426,450,925,659 is 779036850.
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.
659 x 426 x 450 x 925 x 659 = 77007792622500
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.
659 : 1, 659
426 : 1, 2, 3, 6, 71, 142, 213, 426
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
925 : 1, 5, 25, 37, 185, 925
659 : 1, 659
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,426,450,925,659, is 1.
Now, the common factors can be found like this.
659:659
426:2x 3x 71
450:2x 3x 3x 5x 5
925:5x 5x 37
659:659
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 659 = 98850
Therefore, the value for common factors is 98850.
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 = 77007792622500/(1x98850)
LCM = 77007792622500/98850
LCM = 779036850
Thus, we can understand that the LCM of 659,426,450,925,659 is 779036850.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 659, 426, 450, 925, 659?
Answer: LCM of 659, 426, 450, 925, 659 is 779036850.
2. How to calculate the LCM of 659, 426, 450, 925, 659?
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 659, 426, 450, 925, 659.
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}.