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LCM of 83, 176, 319

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


Find the LCM of 83, 176, 319 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 83, 176, 319. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 83,176,319

Given numbers are 83,176,319

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

The LCM of 83,176,319 is 423632.

Find LCM of 83,176,319 with Prime Factorization


11 83, 176, 319
83, 16, 29

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

11 x 83 x 16 x 29 = 423632

Therefore, the lowest common multiple of 83,176,319 is 423632.

LCM Formula to Find Lowest Common Multiple of 83,176,319

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.

83 x 176 x 319 = 4659952

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.

83 : 1, 83

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 83,176,319, is 1.

Now, the common factors can be found like this.

83:83

176:2x 2x 2x 2x 11

319:11x 29

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 = 4659952/(1x11)

LCM = 4659952/11

LCM = 423632

Thus, we can understand that the LCM of 83,176,319 is 423632.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 83, 176, 319

1. What is the LCM of 83, 176, 319?

Answer: LCM of 83, 176, 319 is 423632.

2. How to calculate the LCM of 83, 176, 319?

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 83, 176, 319.

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}.