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LCM of 319, 696, 633, 174

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


Find the LCM of 319, 696, 633, 174 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 319, 696, 633, 174. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 319,696,633,174

Given numbers are 319,696,633,174

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

The LCM of 319,696,633,174 is 1615416.

Find LCM of 319,696,633,174 with Prime Factorization


2 319, 696, 633, 174
3 319, 348, 633, 87
29 319, 116, 211, 29
11, 4, 211, 1

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

2 x 3 x 29 x 11 x 4 x 211 x 1 = 1615416

Therefore, the lowest common multiple of 319,696,633,174 is 1615416.

LCM Formula to Find Lowest Common Multiple of 319,696,633,174

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.

319 x 696 x 633 x 174 = 24454167408

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.

319 : 1, 11, 29, 319

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

633 : 1, 3, 211, 633

174 : 1, 2, 3, 6, 29, 58, 87, 174

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,696,633,174, is 1.

Now, the common factors can be found like this.

319:11x 29

696:2x 2x 2x 3x 29

633:3x 211

174:2x 3x 29

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 3x 29x 29 = 15138

Therefore, the value for common factors is 15138.

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 = 24454167408/(1x15138)

LCM = 24454167408/15138

LCM = 1615416

Thus, we can understand that the LCM of 319,696,633,174 is 1615416.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 319, 696, 633, 174

1. What is the LCM of 319, 696, 633, 174?

Answer: LCM of 319, 696, 633, 174 is 1615416.

2. How to calculate the LCM of 319, 696, 633, 174?

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 319, 696, 633, 174.

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}.