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LCM of 552, 288, 490, 462

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


Find the LCM of 552, 288, 490, 462 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, 288, 490, 462. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 552,288,490,462

Given numbers are 552,288,490,462

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

The LCM of 552,288,490,462 is 17851680.

Find LCM of 552,288,490,462 with Prime Factorization


2 552, 288, 490, 462
2 276, 144, 245, 231
2 138, 72, 245, 231
3 69, 36, 245, 231
7 23, 12, 245, 77
23, 12, 35, 11

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

2 x 2 x 2 x 3 x 7 x 23 x 12 x 35 x 11 = 17851680

Therefore, the lowest common multiple of 552,288,490,462 is 17851680.

LCM Formula to Find Lowest Common Multiple of 552,288,490,462

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 288 x 490 x 462 = 35988986880

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

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

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,288,490,462, is 2.

Now, the common factors can be found like this.

552:2x 2x 2x 3x 23

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

490:2x 5x 7x 7

462:2x 3x 7x 11

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 3x 3x 7 = 1008

Therefore, the value for common factors is 1008.

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 = 35988986880/(2x1008)

LCM = 35988986880/2016

LCM = 17851680

Thus, we can understand that the LCM of 552,288,490,462 is 17851680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 552, 288, 490, 462

1. What is the LCM of 552, 288, 490, 462?

Answer: LCM of 552, 288, 490, 462 is 17851680.

2. How to calculate the LCM of 552, 288, 490, 462?

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, 288, 490, 462.

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}.