LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 546, 186, 563, 538, 586

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


Find the LCM of 546, 186, 563, 538, 586 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 546, 186, 563, 538, 586. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 546,186,563,538,586

Given numbers are 546,186,563,538,586

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

The LCM of 546,186,563,538,586 is 751073833146.

Find LCM of 546,186,563,538,586 with Prime Factorization


2 546, 186, 563, 538, 586
3 273, 93, 563, 269, 293
91, 31, 563, 269, 293

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

2 x 3 x 91 x 31 x 563 x 269 x 293 = 751073833146

Therefore, the lowest common multiple of 546,186,563,538,586 is 751073833146.

LCM Formula to Find Lowest Common Multiple of 546,186,563,538,586

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.

546 x 186 x 563 x 538 x 586 = 18025771995504

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

186 : 1, 2, 3, 6, 31, 62, 93, 186

563 : 1, 563

538 : 1, 2, 269, 538

586 : 1, 2, 293, 586

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,186,563,538,586, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

186:2x 3x 31

563:563

538:2x 269

586:2x 293

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 3 = 24

Therefore, the value for common factors is 24.

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 = 18025771995504/(1x24)

LCM = 18025771995504/24

LCM = 751073833146

Thus, we can understand that the LCM of 546,186,563,538,586 is 751073833146.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 546, 186, 563, 538, 586

1. What is the LCM of 546, 186, 563, 538, 586?

Answer: LCM of 546, 186, 563, 538, 586 is 751073833146.

2. How to calculate the LCM of 546, 186, 563, 538, 586?

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 546, 186, 563, 538, 586.

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}.