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LCM of 756, 566, 609

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


Find the LCM of 756, 566, 609 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 756, 566, 609. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 756,566,609

Given numbers are 756,566,609

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

The LCM of 756,566,609 is 6204492.

Find LCM of 756,566,609 with Prime Factorization


2 756, 566, 609
3 378, 283, 609
7 126, 283, 203
18, 283, 29

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

2 x 3 x 7 x 18 x 283 x 29 = 6204492

Therefore, the lowest common multiple of 756,566,609 is 6204492.

LCM Formula to Find Lowest Common Multiple of 756,566,609

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.

756 x 566 x 609 = 260588664

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

566 : 1, 2, 283, 566

609 : 1, 3, 7, 21, 29, 87, 203, 609

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,566,609, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

566:2x 283

609:3x 7x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 7 = 42

Therefore, the value for common factors is 42.

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 = 260588664/(1x42)

LCM = 260588664/42

LCM = 6204492

Thus, we can understand that the LCM of 756,566,609 is 6204492.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 756, 566, 609

1. What is the LCM of 756, 566, 609?

Answer: LCM of 756, 566, 609 is 6204492.

2. How to calculate the LCM of 756, 566, 609?

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 756, 566, 609.

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}.