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LCM of 858, 930, 990

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


Find the LCM of 858, 930, 990 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, 930, 990. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 858,930,990

Given numbers are 858,930,990

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

The LCM of 858,930,990 is 398970.

Find LCM of 858,930,990 with Prime Factorization


2 858, 930, 990
3 429, 465, 495
5 143, 155, 165
11 143, 31, 33
13, 31, 3

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

2 x 3 x 5 x 11 x 13 x 31 x 3 = 398970

Therefore, the lowest common multiple of 858,930,990 is 398970.

LCM Formula to Find Lowest Common Multiple of 858,930,990

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 930 x 990 = 789960600

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

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,930,990, is 6.

Now, the common factors can be found like this.

858:2x 3x 11x 13

930:2x 3x 5x 31

990:2x 3x 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 3x 5x 11 = 330

Therefore, the value for common factors is 330.

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 = 789960600/(6x330)

LCM = 789960600/1980

LCM = 398970

Thus, we can understand that the LCM of 858,930,990 is 398970.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 858, 930, 990

1. What is the LCM of 858, 930, 990?

Answer: LCM of 858, 930, 990 is 398970.

2. How to calculate the LCM of 858, 930, 990?

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, 930, 990.

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}.