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LCM of 382, 554, 585, 251

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


Find the LCM of 382, 554, 585, 251 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 382, 554, 585, 251. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 382,554,585,251

Given numbers are 382,554,585,251

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

The LCM of 382,554,585,251 is 15537198690.

Find LCM of 382,554,585,251 with Prime Factorization


2 382, 554, 585, 251
191, 277, 585, 251

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

2 x 191 x 277 x 585 x 251 = 15537198690

Therefore, the lowest common multiple of 382,554,585,251 is 15537198690.

LCM Formula to Find Lowest Common Multiple of 382,554,585,251

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.

382 x 554 x 585 x 251 = 31074397380

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.

382 : 1, 2, 191, 382

554 : 1, 2, 277, 554

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

251 : 1, 251

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,554,585,251, is 1.

Now, the common factors can be found like this.

382:2x 191

554:2x 277

585:3x 3x 5x 13

251:251

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

2 = 2

Therefore, the value for common factors is 2.

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 = 31074397380/(1x2)

LCM = 31074397380/2

LCM = 15537198690

Thus, we can understand that the LCM of 382,554,585,251 is 15537198690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 382, 554, 585, 251

1. What is the LCM of 382, 554, 585, 251?

Answer: LCM of 382, 554, 585, 251 is 15537198690.

2. How to calculate the LCM of 382, 554, 585, 251?

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 382, 554, 585, 251.

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}.