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LCM of 543, 559, 786, 266

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


Find the LCM of 543, 559, 786, 266 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, 559, 786, 266. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 543,559,786,266

Given numbers are 543,559,786,266

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

The LCM of 543,559,786,266 is 10577050302.

Find LCM of 543,559,786,266 with Prime Factorization


2 543, 559, 786, 266
3 543, 559, 393, 133
181, 559, 131, 133

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

2 x 3 x 181 x 559 x 131 x 133 = 10577050302

Therefore, the lowest common multiple of 543,559,786,266 is 10577050302.

LCM Formula to Find Lowest Common Multiple of 543,559,786,266

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 559 x 786 x 266 = 63462301812

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

559 : 1, 13, 43, 559

786 : 1, 2, 3, 6, 131, 262, 393, 786

266 : 1, 2, 7, 14, 19, 38, 133, 266

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,559,786,266, is 1.

Now, the common factors can be found like this.

543:3x 181

559:13x 43

786:2x 3x 131

266:2x 7x 19

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 63462301812/(1x6)

LCM = 63462301812/6

LCM = 10577050302

Thus, we can understand that the LCM of 543,559,786,266 is 10577050302.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 543, 559, 786, 266

1. What is the LCM of 543, 559, 786, 266?

Answer: LCM of 543, 559, 786, 266 is 10577050302.

2. How to calculate the LCM of 543, 559, 786, 266?

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, 559, 786, 266.

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}.