Find the LCM of 617, 385, 731, 709, 176 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 617, 385, 731, 709, 176. So, keep reading to learn more.
Given numbers are 617,385,731,709,176
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 617,385,731,709,176 is 1969833360880.
Find LCM of 617,385,731,709,176 with Prime Factorization
11 | 617, 385, 731, 709, 176 |
617, 35, 731, 709, 16 |
Multiply the prime numbers at the bottom and the left side.
11 x 617 x 35 x 731 x 709 x 16 = 1969833360880
Therefore, the lowest common multiple of 617,385,731,709,176 is 1969833360880.
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.
617 x 385 x 731 x 709 x 176 = 21668166969680
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.
617 : 1, 617
385 : 1, 5, 7, 11, 35, 55, 77, 385
731 : 1, 17, 43, 731
709 : 1, 709
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,385,731,709,176, is 1.
Now, the common factors can be found like this.
617:617
385:5x 7x 11
731:17x 43
709:709
176:2x 2x 2x 2x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 21668166969680/(1x11)
LCM = 21668166969680/11
LCM = 1969833360880
Thus, we can understand that the LCM of 617,385,731,709,176 is 1969833360880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 617, 385, 731, 709, 176?
Answer: LCM of 617, 385, 731, 709, 176 is 1969833360880.
2. How to calculate the LCM of 617, 385, 731, 709, 176?
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 617, 385, 731, 709, 176.
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}.