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LCM of 319, 356, 963, 267

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


Find the LCM of 319, 356, 963, 267 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, 356, 963, 267. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 319,356,963,267

Given numbers are 319,356,963,267

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

The LCM of 319,356,963,267 is 109362132.

Find LCM of 319,356,963,267 with Prime Factorization


3 319, 356, 963, 267
89 319, 356, 321, 89
319, 4, 321, 1

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

3 x 89 x 319 x 4 x 321 x 1 = 109362132

Therefore, the lowest common multiple of 319,356,963,267 is 109362132.

LCM Formula to Find Lowest Common Multiple of 319,356,963,267

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 356 x 963 x 267 = 29199689244

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

356 : 1, 2, 4, 89, 178, 356

963 : 1, 3, 9, 107, 321, 963

267 : 1, 3, 89, 267

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,356,963,267, is 1.

Now, the common factors can be found like this.

319:11x 29

356:2x 2x 89

963:3x 3x 107

267:3x 89

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 89 = 267

Therefore, the value for common factors is 267.

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 = 29199689244/(1x267)

LCM = 29199689244/267

LCM = 109362132

Thus, we can understand that the LCM of 319,356,963,267 is 109362132.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 319, 356, 963, 267

1. What is the LCM of 319, 356, 963, 267?

Answer: LCM of 319, 356, 963, 267 is 109362132.

2. How to calculate the LCM of 319, 356, 963, 267?

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, 356, 963, 267.

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}.