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LCM of 858, 184, 624, 406

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


Find the LCM of 858, 184, 624, 406 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, 184, 624, 406. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 858,184,624,406

Given numbers are 858,184,624,406

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

The LCM of 858,184,624,406 is 32048016.

Find LCM of 858,184,624,406 with Prime Factorization


2 858, 184, 624, 406
2 429, 92, 312, 203
2 429, 46, 156, 203
3 429, 23, 78, 203
13 143, 23, 26, 203
11, 23, 2, 203

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

2 x 2 x 2 x 3 x 13 x 11 x 23 x 2 x 203 = 32048016

Therefore, the lowest common multiple of 858,184,624,406 is 32048016.

LCM Formula to Find Lowest Common Multiple of 858,184,624,406

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 184 x 624 x 406 = 39995923968

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

184 : 1, 2, 4, 8, 23, 46, 92, 184

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

406 : 1, 2, 7, 14, 29, 58, 203, 406

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,184,624,406, is 2.

Now, the common factors can be found like this.

858:2x 3x 11x 13

184:2x 2x 2x 23

624:2x 2x 2x 2x 3x 13

406:2x 7x 29

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 13 = 624

Therefore, the value for common factors is 624.

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 = 39995923968/(2x624)

LCM = 39995923968/1248

LCM = 32048016

Thus, we can understand that the LCM of 858,184,624,406 is 32048016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 858, 184, 624, 406

1. What is the LCM of 858, 184, 624, 406?

Answer: LCM of 858, 184, 624, 406 is 32048016.

2. How to calculate the LCM of 858, 184, 624, 406?

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, 184, 624, 406.

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}.