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LCM of 654, 337, 382, 469

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


Find the LCM of 654, 337, 382, 469 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 654, 337, 382, 469. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 654,337,382,469

Given numbers are 654,337,382,469

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

The LCM of 654,337,382,469 is 19743032442.

Find LCM of 654,337,382,469 with Prime Factorization


2 654, 337, 382, 469
327, 337, 191, 469

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

2 x 327 x 337 x 191 x 469 = 19743032442

Therefore, the lowest common multiple of 654,337,382,469 is 19743032442.

LCM Formula to Find Lowest Common Multiple of 654,337,382,469

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.

654 x 337 x 382 x 469 = 39486064884

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.

654 : 1, 2, 3, 6, 109, 218, 327, 654

337 : 1, 337

382 : 1, 2, 191, 382

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,337,382,469, is 1.

Now, the common factors can be found like this.

654:2x 3x 109

337:337

382:2x 191

469:7x 67

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 = 39486064884/(1x2)

LCM = 39486064884/2

LCM = 19743032442

Thus, we can understand that the LCM of 654,337,382,469 is 19743032442.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 654, 337, 382, 469

1. What is the LCM of 654, 337, 382, 469?

Answer: LCM of 654, 337, 382, 469 is 19743032442.

2. How to calculate the LCM of 654, 337, 382, 469?

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 654, 337, 382, 469.

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}.