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LCM of 858, 396, 361, 330, 660

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


Find the LCM of 858, 396, 361, 330, 660 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 858, 396, 361, 330, 660. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 858,396,361,330,660

Given numbers are 858,396,361,330,660

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

The LCM of 858,396,361,330,660 is 9292140.

Find LCM of 858,396,361,330,660 with Prime Factorization


2 858, 396, 361, 330, 660
2 429, 198, 361, 165, 330
3 429, 99, 361, 165, 165
5 143, 33, 361, 55, 55
11 143, 33, 361, 11, 11
13, 3, 361, 1, 1

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

2 x 2 x 3 x 5 x 11 x 13 x 3 x 361 x 1 x 1 = 9292140

Therefore, the lowest common multiple of 858,396,361,330,660 is 9292140.

LCM Formula to Find Lowest Common Multiple of 858,396,361,330,660

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.

858 x 396 x 361 x 330 x 660 = 26714530814400

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.

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

361 : 1, 19, 361

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,396,361,330,660, is 1.

Now, the common factors can be found like this.

858:2x 3x 11x 13

396:2x 2x 3x 3x 11

361:19x 19

330:2x 3x 5x 11

660:2x 2x 3x 5x 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 2x 3x 3x 3x 5x 11x 11x 11 = 2874960

Therefore, the value for common factors is 2874960.

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 = 26714530814400/(1x2874960)

LCM = 26714530814400/2874960

LCM = 9292140

Thus, we can understand that the LCM of 858,396,361,330,660 is 9292140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 858, 396, 361, 330, 660

1. What is the LCM of 858, 396, 361, 330, 660?

Answer: LCM of 858, 396, 361, 330, 660 is 9292140.

2. How to calculate the LCM of 858, 396, 361, 330, 660?

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 858, 396, 361, 330, 660.

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}.