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LCM of 543, 206, 418, 806, 362

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


Find the LCM of 543, 206, 418, 806, 362 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, 206, 418, 806, 362. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 543,206,418,806,362

Given numbers are 543,206,418,806,362

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

The LCM of 543,206,418,806,362 is 9421463766.

Find LCM of 543,206,418,806,362 with Prime Factorization


2 543, 206, 418, 806, 362
181 543, 103, 209, 403, 181
3, 103, 209, 403, 1

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

2 x 181 x 3 x 103 x 209 x 403 x 1 = 9421463766

Therefore, the lowest common multiple of 543,206,418,806,362 is 9421463766.

LCM Formula to Find Lowest Common Multiple of 543,206,418,806,362

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 206 x 418 x 806 x 362 = 13642279533168

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

206 : 1, 2, 103, 206

418 : 1, 2, 11, 19, 22, 38, 209, 418

806 : 1, 2, 13, 26, 31, 62, 403, 806

362 : 1, 2, 181, 362

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,206,418,806,362, is 1.

Now, the common factors can be found like this.

543:3x 181

206:2x 103

418:2x 11x 19

806:2x 13x 31

362:2x 181

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 2x 181 = 1448

Therefore, the value for common factors is 1448.

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 = 13642279533168/(1x1448)

LCM = 13642279533168/1448

LCM = 9421463766

Thus, we can understand that the LCM of 543,206,418,806,362 is 9421463766.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 543, 206, 418, 806, 362

1. What is the LCM of 543, 206, 418, 806, 362?

Answer: LCM of 543, 206, 418, 806, 362 is 9421463766.

2. How to calculate the LCM of 543, 206, 418, 806, 362?

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, 206, 418, 806, 362.

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}.