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LCM of 685, 135, 533, 858, 964

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 685, 135, 533, 858, 964 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 685, 135, 533, 858, 964. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 685,135,533,858,964

Given numbers are 685,135,533,858,964

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 685,135,533,858,964 is 104532482340.

Find LCM of 685,135,533,858,964 with Prime Factorization


2 685, 135, 533, 858, 964
3 685, 135, 533, 429, 482
5 685, 45, 533, 143, 482
13 137, 9, 533, 143, 482
137, 9, 41, 11, 482

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 5 x 13 x 137 x 9 x 41 x 11 x 482 = 104532482340

Therefore, the lowest common multiple of 685,135,533,858,964 is 104532482340.

LCM Formula to Find Lowest Common Multiple of 685,135,533,858,964

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.

685 x 135 x 533 x 858 x 964 = 40767668112600

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.

685 : 1, 5, 137, 685

135 : 1, 3, 5, 9, 15, 27, 45, 135

533 : 1, 13, 41, 533

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

964 : 1, 2, 4, 241, 482, 964

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,135,533,858,964, is 1.

Now, the common factors can be found like this.

685:5x 137

135:3x 3x 3x 5

533:13x 41

858:2x 3x 11x 13

964:2x 2x 241

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 13 = 390

Therefore, the value for common factors is 390.

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 = 40767668112600/(1x390)

LCM = 40767668112600/390

LCM = 104532482340

Thus, we can understand that the LCM of 685,135,533,858,964 is 104532482340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 685, 135, 533, 858, 964

1. What is the LCM of 685, 135, 533, 858, 964?

Answer: LCM of 685, 135, 533, 858, 964 is 104532482340.

2. How to calculate the LCM of 685, 135, 533, 858, 964?

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 685, 135, 533, 858, 964.

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}.