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LCM of 409, 741, 754, 449

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


Find the LCM of 409, 741, 754, 449 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 409, 741, 754, 449. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 409,741,754,449

Given numbers are 409,741,754,449

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

The LCM of 409,741,754,449 is 7892522898.

Find LCM of 409,741,754,449 with Prime Factorization


13 409, 741, 754, 449
409, 57, 58, 449

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

13 x 409 x 57 x 58 x 449 = 7892522898

Therefore, the lowest common multiple of 409,741,754,449 is 7892522898.

LCM Formula to Find Lowest Common Multiple of 409,741,754,449

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.

409 x 741 x 754 x 449 = 102602797674

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.

409 : 1, 409

741 : 1, 3, 13, 19, 39, 57, 247, 741

754 : 1, 2, 13, 26, 29, 58, 377, 754

449 : 1, 449

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,741,754,449, is 1.

Now, the common factors can be found like this.

409:409

741:3x 13x 19

754:2x 13x 29

449:449

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

13 = 13

Therefore, the value for common factors is 13.

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 = 102602797674/(1x13)

LCM = 102602797674/13

LCM = 7892522898

Thus, we can understand that the LCM of 409,741,754,449 is 7892522898.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 409, 741, 754, 449

1. What is the LCM of 409, 741, 754, 449?

Answer: LCM of 409, 741, 754, 449 is 7892522898.

2. How to calculate the LCM of 409, 741, 754, 449?

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 409, 741, 754, 449.

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}.