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LCM of 609, 750, 822, 441

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


Find the LCM of 609, 750, 822, 441 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 609, 750, 822, 441. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 609,750,822,441

Given numbers are 609,750,822,441

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

The LCM of 609,750,822,441 is 438023250.

Find LCM of 609,750,822,441 with Prime Factorization


2 609, 750, 822, 441
3 609, 375, 411, 441
7 203, 125, 137, 147
29, 125, 137, 21

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

2 x 3 x 7 x 29 x 125 x 137 x 21 = 438023250

Therefore, the lowest common multiple of 609,750,822,441 is 438023250.

LCM Formula to Find Lowest Common Multiple of 609,750,822,441

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.

609 x 750 x 822 x 441 = 165572788500

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.

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

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

822 : 1, 2, 3, 6, 137, 274, 411, 822

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,750,822,441, is 3.

Now, the common factors can be found like this.

609:3x 7x 29

750:2x 3x 5x 5x 5

822:2x 3x 137

441:3x 3x 7x 7

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 3x 7 = 126

Therefore, the value for common factors is 126.

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 = 165572788500/(3x126)

LCM = 165572788500/378

LCM = 438023250

Thus, we can understand that the LCM of 609,750,822,441 is 438023250.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 609, 750, 822, 441

1. What is the LCM of 609, 750, 822, 441?

Answer: LCM of 609, 750, 822, 441 is 438023250.

2. How to calculate the LCM of 609, 750, 822, 441?

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 609, 750, 822, 441.

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}.