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LCM of 552, 484, 664, 497

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


Find the LCM of 552, 484, 664, 497 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 552, 484, 664, 497. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 552,484,664,497

Given numbers are 552,484,664,497

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

The LCM of 552,484,664,497 is 2755236792.

Find LCM of 552,484,664,497 with Prime Factorization


2 552, 484, 664, 497
2 276, 242, 332, 497
2 138, 121, 166, 497
69, 121, 83, 497

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

2 x 2 x 2 x 69 x 121 x 83 x 497 = 2755236792

Therefore, the lowest common multiple of 552,484,664,497 is 2755236792.

LCM Formula to Find Lowest Common Multiple of 552,484,664,497

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.

552 x 484 x 664 x 497 = 88167577344

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.

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

664 : 1, 2, 4, 8, 83, 166, 332, 664

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,484,664,497, is 1.

Now, the common factors can be found like this.

552:2x 2x 2x 3x 23

484:2x 2x 11x 11

664:2x 2x 2x 83

497:7x 71

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 2 = 32

Therefore, the value for common factors is 32.

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 = 88167577344/(1x32)

LCM = 88167577344/32

LCM = 2755236792

Thus, we can understand that the LCM of 552,484,664,497 is 2755236792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 552, 484, 664, 497

1. What is the LCM of 552, 484, 664, 497?

Answer: LCM of 552, 484, 664, 497 is 2755236792.

2. How to calculate the LCM of 552, 484, 664, 497?

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 552, 484, 664, 497.

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}.