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LCM of 543, 484, 209, 946

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


Find the LCM of 543, 484, 209, 946 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, 484, 209, 946. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 543,484,209,946

Given numbers are 543,484,209,946

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

The LCM of 543,484,209,946 is 214717404.

Find LCM of 543,484,209,946 with Prime Factorization


2 543, 484, 209, 946
11 543, 242, 209, 473
543, 22, 19, 43

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

2 x 11 x 543 x 22 x 19 x 43 = 214717404

Therefore, the lowest common multiple of 543,484,209,946 is 214717404.

LCM Formula to Find Lowest Common Multiple of 543,484,209,946

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 484 x 209 x 946 = 51961611768

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

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

209 : 1, 11, 19, 209

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,484,209,946, is 1.

Now, the common factors can be found like this.

543:3x 181

484:2x 2x 11x 11

209:11x 19

946:2x 11x 43

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

2x 11x 11 = 242

Therefore, the value for common factors is 242.

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 = 51961611768/(1x242)

LCM = 51961611768/242

LCM = 214717404

Thus, we can understand that the LCM of 543,484,209,946 is 214717404.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 543, 484, 209, 946

1. What is the LCM of 543, 484, 209, 946?

Answer: LCM of 543, 484, 209, 946 is 214717404.

2. How to calculate the LCM of 543, 484, 209, 946?

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, 484, 209, 946.

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}.