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LCM of 110, 106, 362, 530, 858

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


Find the LCM of 110, 106, 362, 530, 858 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 110, 106, 362, 530, 858. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 110,106,362,530,858

Given numbers are 110,106,362,530,858

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

The LCM of 110,106,362,530,858 is 41153970.

Find LCM of 110,106,362,530,858 with Prime Factorization


2 110, 106, 362, 530, 858
5 55, 53, 181, 265, 429
11 11, 53, 181, 53, 429
53 1, 53, 181, 53, 39
1, 1, 181, 1, 39

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

2 x 5 x 11 x 53 x 1 x 1 x 181 x 1 x 39 = 41153970

Therefore, the lowest common multiple of 110,106,362,530,858 is 41153970.

LCM Formula to Find Lowest Common Multiple of 110,106,362,530,858

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.

110 x 106 x 362 x 530 x 858 = 1919421160800

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.

110 : 1, 2, 5, 10, 11, 22, 55, 110

106 : 1, 2, 53, 106

362 : 1, 2, 181, 362

530 : 1, 2, 5, 10, 53, 106, 265, 530

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,106,362,530,858, is 2.

Now, the common factors can be found like this.

110:2x 5x 11

106:2x 53

362:2x 181

530:2x 5x 53

858:2x 3x 11x 13

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 5x 11x 53 = 23320

Therefore, the value for common factors is 23320.

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 = 1919421160800/(2x23320)

LCM = 1919421160800/46640

LCM = 41153970

Thus, we can understand that the LCM of 110,106,362,530,858 is 41153970.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 110, 106, 362, 530, 858

1. What is the LCM of 110, 106, 362, 530, 858?

Answer: LCM of 110, 106, 362, 530, 858 is 41153970.

2. How to calculate the LCM of 110, 106, 362, 530, 858?

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 110, 106, 362, 530, 858.

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}.