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LCM of 494, 437, 437, 204

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


Find the LCM of 494, 437, 437, 204 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, 437, 437, 204. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 494,437,437,204

Given numbers are 494,437,437,204

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

The LCM of 494,437,437,204 is 1158924.

Find LCM of 494,437,437,204 with Prime Factorization


2 494, 437, 437, 204
19 247, 437, 437, 102
23 13, 23, 23, 102
13, 1, 1, 102

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

2 x 19 x 23 x 13 x 1 x 1 x 102 = 1158924

Therefore, the lowest common multiple of 494,437,437,204 is 1158924.

LCM Formula to Find Lowest Common Multiple of 494,437,437,204

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 437 x 437 x 204 = 19245091944

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

437 : 1, 19, 23, 437

437 : 1, 19, 23, 437

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,437,437,204, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

437:19x 23

437:19x 23

204:2x 2x 3x 17

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

2x 19x 19x 23 = 16606

Therefore, the value for common factors is 16606.

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 = 19245091944/(1x16606)

LCM = 19245091944/16606

LCM = 1158924

Thus, we can understand that the LCM of 494,437,437,204 is 1158924.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 494, 437, 437, 204

1. What is the LCM of 494, 437, 437, 204?

Answer: LCM of 494, 437, 437, 204 is 1158924.

2. How to calculate the LCM of 494, 437, 437, 204?

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, 437, 437, 204.

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}.