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LCM of 609, 187, 406

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


Find the LCM of 609, 187, 406 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, 187, 406. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 609,187,406

Given numbers are 609,187,406

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

The LCM of 609,187,406 is 227766.

Find LCM of 609,187,406 with Prime Factorization


7 609, 187, 406
29 87, 187, 58
3, 187, 2

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

7 x 29 x 3 x 187 x 2 = 227766

Therefore, the lowest common multiple of 609,187,406 is 227766.

LCM Formula to Find Lowest Common Multiple of 609,187,406

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 187 x 406 = 46236498

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

187 : 1, 11, 17, 187

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,187,406, is 1.

Now, the common factors can be found like this.

609:3x 7x 29

187:11x 17

406:2x 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.

7x 29 = 203

Therefore, the value for common factors is 203.

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 = 46236498/(1x203)

LCM = 46236498/203

LCM = 227766

Thus, we can understand that the LCM of 609,187,406 is 227766.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 609, 187, 406

1. What is the LCM of 609, 187, 406?

Answer: LCM of 609, 187, 406 is 227766.

2. How to calculate the LCM of 609, 187, 406?

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, 187, 406.

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}.