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LCM of 543, 394, 210, 514

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


Find the LCM of 543, 394, 210, 514 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 543, 394, 210, 514. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 543,394,210,514

Given numbers are 543,394,210,514

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

The LCM of 543,394,210,514 is 1924408290.

Find LCM of 543,394,210,514 with Prime Factorization


2 543, 394, 210, 514
3 543, 197, 105, 257
181, 197, 35, 257

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

2 x 3 x 181 x 197 x 35 x 257 = 1924408290

Therefore, the lowest common multiple of 543,394,210,514 is 1924408290.

LCM Formula to Find Lowest Common Multiple of 543,394,210,514

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.

543 x 394 x 210 x 514 = 23092899480

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.

543 : 1, 3, 181, 543

394 : 1, 2, 197, 394

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,394,210,514, is 1.

Now, the common factors can be found like this.

543:3x 181

394:2x 197

210:2x 3x 5x 7

514:2x 257

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 3 = 12

Therefore, the value for common factors is 12.

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 = 23092899480/(1x12)

LCM = 23092899480/12

LCM = 1924408290

Thus, we can understand that the LCM of 543,394,210,514 is 1924408290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 543, 394, 210, 514

1. What is the LCM of 543, 394, 210, 514?

Answer: LCM of 543, 394, 210, 514 is 1924408290.

2. How to calculate the LCM of 543, 394, 210, 514?

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 543, 394, 210, 514.

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}.