Find the LCM of 683, 664, 218, 617, 617 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 683, 664, 218, 617, 617. So, keep reading to learn more.
Given numbers are 683,664,218,617,617
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 683,664,218,617,617 is 30500042536.
Find LCM of 683,664,218,617,617 with Prime Factorization
2 | 683, 664, 218, 617, 617 |
617 | 683, 332, 109, 617, 617 |
683, 332, 109, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 617 x 683 x 332 x 109 x 1 x 1 = 30500042536
Therefore, the lowest common multiple of 683,664,218,617,617 is 30500042536.
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.
683 x 664 x 218 x 617 x 617 = 37637052489424
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.
683 : 1, 683
664 : 1, 2, 4, 8, 83, 166, 332, 664
218 : 1, 2, 109, 218
617 : 1, 617
617 : 1, 617
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 683,664,218,617,617, is 1.
Now, the common factors can be found like this.
683:683
664:2x 2x 2x 83
218:2x 109
617:617
617:617
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 617 = 1234
Therefore, the value for common factors is 1234.
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 = 37637052489424/(1x1234)
LCM = 37637052489424/1234
LCM = 30500042536
Thus, we can understand that the LCM of 683,664,218,617,617 is 30500042536.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 683, 664, 218, 617, 617?
Answer: LCM of 683, 664, 218, 617, 617 is 30500042536.
2. How to calculate the LCM of 683, 664, 218, 617, 617?
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 683, 664, 218, 617, 617.
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}.