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LCM of 993, 210, 361, 315

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


Find the LCM of 993, 210, 361, 315 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 993, 210, 361, 315. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 993,210,361,315

Given numbers are 993,210,361,315

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

The LCM of 993,210,361,315 is 75279330.

Find LCM of 993,210,361,315 with Prime Factorization


3 993, 210, 361, 315
5 331, 70, 361, 105
7 331, 14, 361, 21
331, 2, 361, 3

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

3 x 5 x 7 x 331 x 2 x 361 x 3 = 75279330

Therefore, the lowest common multiple of 993,210,361,315 is 75279330.

LCM Formula to Find Lowest Common Multiple of 993,210,361,315

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.

993 x 210 x 361 x 315 = 23712988950

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.

993 : 1, 3, 331, 993

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

361 : 1, 19, 361

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,210,361,315, is 1.

Now, the common factors can be found like this.

993:3x 331

210:2x 3x 5x 7

361:19x 19

315:3x 3x 5x 7

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

3x 3x 5x 7 = 315

Therefore, the value for common factors is 315.

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 = 23712988950/(1x315)

LCM = 23712988950/315

LCM = 75279330

Thus, we can understand that the LCM of 993,210,361,315 is 75279330.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 993, 210, 361, 315

1. What is the LCM of 993, 210, 361, 315?

Answer: LCM of 993, 210, 361, 315 is 75279330.

2. How to calculate the LCM of 993, 210, 361, 315?

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 993, 210, 361, 315.

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}.