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LCM of 567, 462, 128, 828

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


Find the LCM of 567, 462, 128, 828 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 567, 462, 128, 828. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 567,462,128,828

Given numbers are 567,462,128,828

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

The LCM of 567,462,128,828 is 18361728.

Find LCM of 567,462,128,828 with Prime Factorization


2 567, 462, 128, 828
2 567, 231, 64, 414
3 567, 231, 32, 207
3 189, 77, 32, 69
7 63, 77, 32, 23
9, 11, 32, 23

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

2 x 2 x 3 x 3 x 7 x 9 x 11 x 32 x 23 = 18361728

Therefore, the lowest common multiple of 567,462,128,828 is 18361728.

LCM Formula to Find Lowest Common Multiple of 567,462,128,828

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.

567 x 462 x 128 x 828 = 27762932736

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.

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,462,128,828, is 1.

Now, the common factors can be found like this.

567:3x 3x 3x 3x 7

462:2x 3x 7x 11

128:2x 2x 2x 2x 2x 2x 2

828:2x 2x 3x 3x 23

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 3x 3x 3x 7 = 1512

Therefore, the value for common factors is 1512.

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 = 27762932736/(1x1512)

LCM = 27762932736/1512

LCM = 18361728

Thus, we can understand that the LCM of 567,462,128,828 is 18361728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 567, 462, 128, 828

1. What is the LCM of 567, 462, 128, 828?

Answer: LCM of 567, 462, 128, 828 is 18361728.

2. How to calculate the LCM of 567, 462, 128, 828?

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 567, 462, 128, 828.

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}.