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LCM of 334, 333, 592, 590

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


Find the LCM of 334, 333, 592, 590 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 334, 333, 592, 590. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 334,333,592,590

Given numbers are 334,333,592,590

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

The LCM of 334,333,592,590 is 262483920.

Find LCM of 334,333,592,590 with Prime Factorization


2 334, 333, 592, 590
37 167, 333, 296, 295
167, 9, 8, 295

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

2 x 37 x 167 x 9 x 8 x 295 = 262483920

Therefore, the lowest common multiple of 334,333,592,590 is 262483920.

LCM Formula to Find Lowest Common Multiple of 334,333,592,590

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.

334 x 333 x 592 x 590 = 38847620160

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.

334 : 1, 2, 167, 334

333 : 1, 3, 9, 37, 111, 333

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,333,592,590, is 1.

Now, the common factors can be found like this.

334:2x 167

333:3x 3x 37

592:2x 2x 2x 2x 37

590:2x 5x 59

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 37 = 148

Therefore, the value for common factors is 148.

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 = 38847620160/(1x148)

LCM = 38847620160/148

LCM = 262483920

Thus, we can understand that the LCM of 334,333,592,590 is 262483920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 334, 333, 592, 590

1. What is the LCM of 334, 333, 592, 590?

Answer: LCM of 334, 333, 592, 590 is 262483920.

2. How to calculate the LCM of 334, 333, 592, 590?

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 334, 333, 592, 590.

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}.