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LCM of 294, 372, 289, 590, 273

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


Find the LCM of 294, 372, 289, 590, 273 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 294, 372, 289, 590, 273. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 294,372,289,590,273

Given numbers are 294,372,289,590,273

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

The LCM of 294,372,289,590,273 is 20202365820.

Find LCM of 294,372,289,590,273 with Prime Factorization


2 294, 372, 289, 590, 273
3 147, 186, 289, 295, 273
7 49, 62, 289, 295, 91
7, 62, 289, 295, 13

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

2 x 3 x 7 x 7 x 62 x 289 x 295 x 13 = 20202365820

Therefore, the lowest common multiple of 294,372,289,590,273 is 20202365820.

LCM Formula to Find Lowest Common Multiple of 294,372,289,590,273

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.

294 x 372 x 289 x 590 x 273 = 5090996186640

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.

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

289 : 1, 17, 289

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

273 : 1, 3, 7, 13, 21, 39, 91, 273

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,372,289,590,273, is 1.

Now, the common factors can be found like this.

294:2x 3x 7x 7

372:2x 2x 3x 31

289:17x 17

590:2x 5x 59

273:3x 7x 13

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 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 5090996186640/(1x252)

LCM = 5090996186640/252

LCM = 20202365820

Thus, we can understand that the LCM of 294,372,289,590,273 is 20202365820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 294, 372, 289, 590, 273

1. What is the LCM of 294, 372, 289, 590, 273?

Answer: LCM of 294, 372, 289, 590, 273 is 20202365820.

2. How to calculate the LCM of 294, 372, 289, 590, 273?

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 294, 372, 289, 590, 273.

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}.