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LCM of 821, 238, 384, 758, 198

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


Find the LCM of 821, 238, 384, 758, 198 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 821, 238, 384, 758, 198. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 821,238,384,758,198

Given numbers are 821,238,384,758,198

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

The LCM of 821,238,384,758,198 is 469217814912.

Find LCM of 821,238,384,758,198 with Prime Factorization


2 821, 238, 384, 758, 198
3 821, 119, 192, 379, 99
821, 119, 64, 379, 33

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

2 x 3 x 821 x 119 x 64 x 379 x 33 = 469217814912

Therefore, the lowest common multiple of 821,238,384,758,198 is 469217814912.

LCM Formula to Find Lowest Common Multiple of 821,238,384,758,198

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.

821 x 238 x 384 x 758 x 198 = 11261227557888

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.

821 : 1, 821

238 : 1, 2, 7, 14, 17, 34, 119, 238

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

758 : 1, 2, 379, 758

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,238,384,758,198, is 1.

Now, the common factors can be found like this.

821:821

238:2x 7x 17

384:2x 2x 2x 2x 2x 2x 2x 3

758:2x 379

198:2x 3x 3x 11

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 3 = 24

Therefore, the value for common factors is 24.

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 = 11261227557888/(1x24)

LCM = 11261227557888/24

LCM = 469217814912

Thus, we can understand that the LCM of 821,238,384,758,198 is 469217814912.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 821, 238, 384, 758, 198

1. What is the LCM of 821, 238, 384, 758, 198?

Answer: LCM of 821, 238, 384, 758, 198 is 469217814912.

2. How to calculate the LCM of 821, 238, 384, 758, 198?

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 821, 238, 384, 758, 198.

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}.