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LCM of 302, 494, 242, 507, 106

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


Find the LCM of 302, 494, 242, 507, 106 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 302, 494, 242, 507, 106. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 302,494,242,507,106

Given numbers are 302,494,242,507,106

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

The LCM of 302,494,242,507,106 is 18656481558.

Find LCM of 302,494,242,507,106 with Prime Factorization


2 302, 494, 242, 507, 106
13 151, 247, 121, 507, 53
151, 19, 121, 39, 53

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

2 x 13 x 151 x 19 x 121 x 39 x 53 = 18656481558

Therefore, the lowest common multiple of 302,494,242,507,106 is 18656481558.

LCM Formula to Find Lowest Common Multiple of 302,494,242,507,106

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.

302 x 494 x 242 x 507 x 106 = 1940274082032

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.

302 : 1, 2, 151, 302

494 : 1, 2, 13, 19, 26, 38, 247, 494

242 : 1, 2, 11, 22, 121, 242

507 : 1, 3, 13, 39, 169, 507

106 : 1, 2, 53, 106

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,494,242,507,106, is 1.

Now, the common factors can be found like this.

302:2x 151

494:2x 13x 19

242:2x 11x 11

507:3x 13x 13

106:2x 53

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 13 = 104

Therefore, the value for common factors is 104.

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 = 1940274082032/(1x104)

LCM = 1940274082032/104

LCM = 18656481558

Thus, we can understand that the LCM of 302,494,242,507,106 is 18656481558.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 302, 494, 242, 507, 106

1. What is the LCM of 302, 494, 242, 507, 106?

Answer: LCM of 302, 494, 242, 507, 106 is 18656481558.

2. How to calculate the LCM of 302, 494, 242, 507, 106?

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 302, 494, 242, 507, 106.

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}.