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LCM of 494, 901, 104, 872

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


Find the LCM of 494, 901, 104, 872 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 494, 901, 104, 872. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 494,901,104,872

Given numbers are 494,901,104,872

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

The LCM of 494,901,104,872 is 194060984.

Find LCM of 494,901,104,872 with Prime Factorization


2 494, 901, 104, 872
2 247, 901, 52, 436
2 247, 901, 26, 218
13 247, 901, 13, 109
19, 901, 1, 109

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

2 x 2 x 2 x 13 x 19 x 901 x 1 x 109 = 194060984

Therefore, the lowest common multiple of 494,901,104,872 is 194060984.

LCM Formula to Find Lowest Common Multiple of 494,901,104,872

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.

494 x 901 x 104 x 872 = 40364684672

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.

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

901 : 1, 17, 53, 901

104 : 1, 2, 4, 8, 13, 26, 52, 104

872 : 1, 2, 4, 8, 109, 218, 436, 872

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,901,104,872, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

901:17x 53

104:2x 2x 2x 13

872:2x 2x 2x 109

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 2x 13 = 208

Therefore, the value for common factors is 208.

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 = 40364684672/(1x208)

LCM = 40364684672/208

LCM = 194060984

Thus, we can understand that the LCM of 494,901,104,872 is 194060984.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 494, 901, 104, 872

1. What is the LCM of 494, 901, 104, 872?

Answer: LCM of 494, 901, 104, 872 is 194060984.

2. How to calculate the LCM of 494, 901, 104, 872?

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 494, 901, 104, 872.

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}.