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LCM of 200, 499, 423, 308

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


Find the LCM of 200, 499, 423, 308 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 200, 499, 423, 308. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 200,499,423,308

Given numbers are 200,499,423,308

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

The LCM of 200,499,423,308 is 3250585800.

Find LCM of 200,499,423,308 with Prime Factorization


2 200, 499, 423, 308
2 100, 499, 423, 154
50, 499, 423, 77

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

2 x 2 x 50 x 499 x 423 x 77 = 3250585800

Therefore, the lowest common multiple of 200,499,423,308 is 3250585800.

LCM Formula to Find Lowest Common Multiple of 200,499,423,308

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.

200 x 499 x 423 x 308 = 13002343200

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.

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

499 : 1, 499

423 : 1, 3, 9, 47, 141, 423

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 200,499,423,308, is 1.

Now, the common factors can be found like this.

200:2x 2x 2x 5x 5

499:499

423:3x 3x 47

308:2x 2x 7x 11

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 13002343200/(1x4)

LCM = 13002343200/4

LCM = 3250585800

Thus, we can understand that the LCM of 200,499,423,308 is 3250585800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 200, 499, 423, 308

1. What is the LCM of 200, 499, 423, 308?

Answer: LCM of 200, 499, 423, 308 is 3250585800.

2. How to calculate the LCM of 200, 499, 423, 308?

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 200, 499, 423, 308.

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}.