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LCM of 543, 209, 771, 768

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


Find the LCM of 543, 209, 771, 768 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, 209, 771, 768. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 543,209,771,768

Given numbers are 543,209,771,768

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

The LCM of 543,209,771,768 is 7466536704.

Find LCM of 543,209,771,768 with Prime Factorization


3 543, 209, 771, 768
181, 209, 257, 256

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

3 x 181 x 209 x 257 x 256 = 7466536704

Therefore, the lowest common multiple of 543,209,771,768 is 7466536704.

LCM Formula to Find Lowest Common Multiple of 543,209,771,768

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 209 x 771 x 768 = 67198830336

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

209 : 1, 11, 19, 209

771 : 1, 3, 257, 771

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,209,771,768, is 1.

Now, the common factors can be found like this.

543:3x 181

209:11x 19

771:3x 257

768:2x 2x 2x 2x 2x 2x 2x 2x 3

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 67198830336/(1x9)

LCM = 67198830336/9

LCM = 7466536704

Thus, we can understand that the LCM of 543,209,771,768 is 7466536704.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 543, 209, 771, 768

1. What is the LCM of 543, 209, 771, 768?

Answer: LCM of 543, 209, 771, 768 is 7466536704.

2. How to calculate the LCM of 543, 209, 771, 768?

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, 209, 771, 768.

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}.