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LCM of 462, 675, 498, 820

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


Find the LCM of 462, 675, 498, 820 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 462, 675, 498, 820. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 462,675,498,820

Given numbers are 462,675,498,820

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

The LCM of 462,675,498,820 is 707483700.

Find LCM of 462,675,498,820 with Prime Factorization


2 462, 675, 498, 820
3 231, 675, 249, 410
5 77, 225, 83, 410
77, 45, 83, 82

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

2 x 3 x 5 x 77 x 45 x 83 x 82 = 707483700

Therefore, the lowest common multiple of 462,675,498,820 is 707483700.

LCM Formula to Find Lowest Common Multiple of 462,675,498,820

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.

462 x 675 x 498 x 820 = 127347066000

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.

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

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

498 : 1, 2, 3, 6, 83, 166, 249, 498

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,675,498,820, is 1.

Now, the common factors can be found like this.

462:2x 3x 7x 11

675:3x 3x 3x 5x 5

498:2x 3x 83

820:2x 2x 5x 41

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 127347066000/(1x180)

LCM = 127347066000/180

LCM = 707483700

Thus, we can understand that the LCM of 462,675,498,820 is 707483700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 462, 675, 498, 820

1. What is the LCM of 462, 675, 498, 820?

Answer: LCM of 462, 675, 498, 820 is 707483700.

2. How to calculate the LCM of 462, 675, 498, 820?

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 462, 675, 498, 820.

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}.