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LCM of 898, 666, 195, 234, 448

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


Find the LCM of 898, 666, 195, 234, 448 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 898, 666, 195, 234, 448. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 898,666,195,234,448

Given numbers are 898,666,195,234,448

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

The LCM of 898,666,195,234,448 is 4353935040.

Find LCM of 898,666,195,234,448 with Prime Factorization


2 898, 666, 195, 234, 448
3 449, 333, 195, 117, 224
3 449, 111, 65, 39, 224
13 449, 37, 65, 13, 224
449, 37, 5, 1, 224

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

2 x 3 x 3 x 13 x 449 x 37 x 5 x 1 x 224 = 4353935040

Therefore, the lowest common multiple of 898,666,195,234,448 is 4353935040.

LCM Formula to Find Lowest Common Multiple of 898,666,195,234,448

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.

898 x 666 x 195 x 234 x 448 = 12225849592320

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.

898 : 1, 2, 449, 898

666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

195 : 1, 3, 5, 13, 15, 39, 65, 195

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,666,195,234,448, is 1.

Now, the common factors can be found like this.

898:2x 449

666:2x 3x 3x 37

195:3x 5x 13

234:2x 3x 3x 13

448:2x 2x 2x 2x 2x 2x 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 2x 2x 3x 3x 3x 13 = 2808

Therefore, the value for common factors is 2808.

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 = 12225849592320/(1x2808)

LCM = 12225849592320/2808

LCM = 4353935040

Thus, we can understand that the LCM of 898,666,195,234,448 is 4353935040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 898, 666, 195, 234, 448

1. What is the LCM of 898, 666, 195, 234, 448?

Answer: LCM of 898, 666, 195, 234, 448 is 4353935040.

2. How to calculate the LCM of 898, 666, 195, 234, 448?

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 898, 666, 195, 234, 448.

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}.