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LCM of 493, 288, 816, 374

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


Find the LCM of 493, 288, 816, 374 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 493, 288, 816, 374. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 493,288,816,374

Given numbers are 493,288,816,374

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

The LCM of 493,288,816,374 is 1561824.

Find LCM of 493,288,816,374 with Prime Factorization


2 493, 288, 816, 374
2 493, 144, 408, 187
2 493, 72, 204, 187
2 493, 36, 102, 187
3 493, 18, 51, 187
17 493, 6, 17, 187
29, 6, 1, 11

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

2 x 2 x 2 x 2 x 3 x 17 x 29 x 6 x 1 x 11 = 1561824

Therefore, the lowest common multiple of 493,288,816,374 is 1561824.

LCM Formula to Find Lowest Common Multiple of 493,288,816,374

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.

493 x 288 x 816 x 374 = 43331245056

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.

493 : 1, 17, 29, 493

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,288,816,374, is 1.

Now, the common factors can be found like this.

493:17x 29

288:2x 2x 2x 2x 2x 3x 3

816:2x 2x 2x 2x 3x 17

374:2x 11x 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 2x 2x 2x 2x 3x 17x 17 = 27744

Therefore, the value for common factors is 27744.

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 = 43331245056/(1x27744)

LCM = 43331245056/27744

LCM = 1561824

Thus, we can understand that the LCM of 493,288,816,374 is 1561824.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 493, 288, 816, 374

1. What is the LCM of 493, 288, 816, 374?

Answer: LCM of 493, 288, 816, 374 is 1561824.

2. How to calculate the LCM of 493, 288, 816, 374?

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 493, 288, 816, 374.

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}.