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LCM of 465, 200, 222, 814, 319

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


Find the LCM of 465, 200, 222, 814, 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 465, 200, 222, 814, 319. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 465,200,222,814,319

Given numbers are 465,200,222,814,319

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

The LCM of 465,200,222,814,319 is 219535800.

Find LCM of 465,200,222,814,319 with Prime Factorization


2 465, 200, 222, 814, 319
3 465, 100, 111, 407, 319
5 155, 100, 37, 407, 319
11 31, 20, 37, 407, 319
37 31, 20, 37, 37, 29
31, 20, 1, 1, 29

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

2 x 3 x 5 x 11 x 37 x 31 x 20 x 1 x 1 x 29 = 219535800

Therefore, the lowest common multiple of 465,200,222,814,319 is 219535800.

LCM Formula to Find Lowest Common Multiple of 465,200,222,814,319

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.

465 x 200 x 222 x 814 x 319 = 5361064236000

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.

465 : 1, 3, 5, 15, 31, 93, 155, 465

200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

222 : 1, 2, 3, 6, 37, 74, 111, 222

814 : 1, 2, 11, 22, 37, 74, 407, 814

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,200,222,814,319, is 1.

Now, the common factors can be found like this.

465:3x 5x 31

200:2x 2x 2x 5x 5

222:2x 3x 37

814:2x 11x 37

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.

2x 2x 3x 5x 11x 37 = 24420

Therefore, the value for common factors is 24420.

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 = 5361064236000/(1x24420)

LCM = 5361064236000/24420

LCM = 219535800

Thus, we can understand that the LCM of 465,200,222,814,319 is 219535800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 465, 200, 222, 814, 319

1. What is the LCM of 465, 200, 222, 814, 319?

Answer: LCM of 465, 200, 222, 814, 319 is 219535800.

2. How to calculate the LCM of 465, 200, 222, 814, 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 465, 200, 222, 814, 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}.