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LCM of 858, 429, 162, 107

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


Find the LCM of 858, 429, 162, 107 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, 429, 162, 107. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 858,429,162,107

Given numbers are 858,429,162,107

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

The LCM of 858,429,162,107 is 2478762.

Find LCM of 858,429,162,107 with Prime Factorization


2 858, 429, 162, 107
3 429, 429, 81, 107
11 143, 143, 27, 107
13 13, 13, 27, 107
1, 1, 27, 107

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

2 x 3 x 11 x 13 x 1 x 1 x 27 x 107 = 2478762

Therefore, the lowest common multiple of 858,429,162,107 is 2478762.

LCM Formula to Find Lowest Common Multiple of 858,429,162,107

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 429 x 162 x 107 = 6380333388

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

429 : 1, 3, 11, 13, 33, 39, 143, 429

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,429,162,107, is 1.

Now, the common factors can be found like this.

858:2x 3x 11x 13

429:3x 11x 13

162:2x 3x 3x 3x 3

107:107

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 3x 11x 13 = 2574

Therefore, the value for common factors is 2574.

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 = 6380333388/(1x2574)

LCM = 6380333388/2574

LCM = 2478762

Thus, we can understand that the LCM of 858,429,162,107 is 2478762.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 858, 429, 162, 107

1. What is the LCM of 858, 429, 162, 107?

Answer: LCM of 858, 429, 162, 107 is 2478762.

2. How to calculate the LCM of 858, 429, 162, 107?

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, 429, 162, 107.

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}.