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LCM of 898, 352, 939, 192

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


Find the LCM of 898, 352, 939, 192 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, 352, 939, 192. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 898,352,939,192

Given numbers are 898,352,939,192

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

The LCM of 898,352,939,192 is 296814144.

Find LCM of 898,352,939,192 with Prime Factorization


2 898, 352, 939, 192
2 449, 176, 939, 96
2 449, 88, 939, 48
2 449, 44, 939, 24
2 449, 22, 939, 12
3 449, 11, 939, 6
449, 11, 313, 2

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

2 x 2 x 2 x 2 x 2 x 3 x 449 x 11 x 313 x 2 = 296814144

Therefore, the lowest common multiple of 898,352,939,192 is 296814144.

LCM Formula to Find Lowest Common Multiple of 898,352,939,192

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 352 x 939 x 192 = 56988315648

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

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

939 : 1, 3, 313, 939

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,352,939,192, is 1.

Now, the common factors can be found like this.

898:2x 449

352:2x 2x 2x 2x 2x 11

939:3x 313

192:2x 2x 2x 2x 2x 2x 3

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 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 56988315648/(1x192)

LCM = 56988315648/192

LCM = 296814144

Thus, we can understand that the LCM of 898,352,939,192 is 296814144.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 898, 352, 939, 192

1. What is the LCM of 898, 352, 939, 192?

Answer: LCM of 898, 352, 939, 192 is 296814144.

2. How to calculate the LCM of 898, 352, 939, 192?

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, 352, 939, 192.

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}.