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LCM of 561, 974, 605, 605, 469

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


Find the LCM of 561, 974, 605, 605, 469 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 561, 974, 605, 605, 469. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 561,974,605,605,469

Given numbers are 561,974,605,605,469

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

The LCM of 561,974,605,605,469 is 14094749130.

Find LCM of 561,974,605,605,469 with Prime Factorization


5 561, 974, 605, 605, 469
11 561, 974, 121, 121, 469
11 51, 974, 11, 11, 469
51, 974, 1, 1, 469

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

5 x 11 x 11 x 51 x 974 x 1 x 1 x 469 = 14094749130

Therefore, the lowest common multiple of 561,974,605,605,469 is 14094749130.

LCM Formula to Find Lowest Common Multiple of 561,974,605,605,469

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.

561 x 974 x 605 x 605 x 469 = 93800555460150

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

974 : 1, 2, 487, 974

605 : 1, 5, 11, 55, 121, 605

605 : 1, 5, 11, 55, 121, 605

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,974,605,605,469, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

974:2x 487

605:5x 11x 11

605:5x 11x 11

469:7x 67

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

5x 11x 11x 11 = 6655

Therefore, the value for common factors is 6655.

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 = 93800555460150/(1x6655)

LCM = 93800555460150/6655

LCM = 14094749130

Thus, we can understand that the LCM of 561,974,605,605,469 is 14094749130.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 561, 974, 605, 605, 469

1. What is the LCM of 561, 974, 605, 605, 469?

Answer: LCM of 561, 974, 605, 605, 469 is 14094749130.

2. How to calculate the LCM of 561, 974, 605, 605, 469?

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 561, 974, 605, 605, 469.

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}.