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LCM of 449, 449, 618, 434

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


Find the LCM of 449, 449, 618, 434 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 449, 449, 618, 434. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 449,449,618,434

Given numbers are 449,449,618,434

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

The LCM of 449,449,618,434 is 60213594.

Find LCM of 449,449,618,434 with Prime Factorization


2 449, 449, 618, 434
449 449, 449, 309, 217
1, 1, 309, 217

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

2 x 449 x 1 x 1 x 309 x 217 = 60213594

Therefore, the lowest common multiple of 449,449,618,434 is 60213594.

LCM Formula to Find Lowest Common Multiple of 449,449,618,434

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.

449 x 449 x 618 x 434 = 54071807412

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.

449 : 1, 449

449 : 1, 449

618 : 1, 2, 3, 6, 103, 206, 309, 618

434 : 1, 2, 7, 14, 31, 62, 217, 434

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,449,618,434, is 1.

Now, the common factors can be found like this.

449:449

449:449

618:2x 3x 103

434:2x 7x 31

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

2x 449 = 898

Therefore, the value for common factors is 898.

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 = 54071807412/(1x898)

LCM = 54071807412/898

LCM = 60213594

Thus, we can understand that the LCM of 449,449,618,434 is 60213594.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 449, 449, 618, 434

1. What is the LCM of 449, 449, 618, 434?

Answer: LCM of 449, 449, 618, 434 is 60213594.

2. How to calculate the LCM of 449, 449, 618, 434?

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 449, 449, 618, 434.

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}.