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LCM of 8, 429, 462, 936

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


Find the LCM of 8, 429, 462, 936 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 8, 429, 462, 936. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8,429,462,936

Given numbers are 8,429,462,936

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

The LCM of 8,429,462,936 is 72072.

Find LCM of 8,429,462,936 with Prime Factorization


2 8, 429, 462, 936
2 4, 429, 231, 468
2 2, 429, 231, 234
3 1, 429, 231, 117
11 1, 143, 77, 39
13 1, 13, 7, 39
1, 1, 7, 3

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

2 x 2 x 2 x 3 x 11 x 13 x 1 x 1 x 7 x 3 = 72072

Therefore, the lowest common multiple of 8,429,462,936 is 72072.

LCM Formula to Find Lowest Common Multiple of 8,429,462,936

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.

8 x 429 x 462 x 936 = 1484106624

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.

8 : 1, 2, 4, 8

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

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8,429,462,936, is 1.

Now, the common factors can be found like this.

8:2x 2x 2

429:3x 11x 13

462:2x 3x 7x 11

936:2x 2x 2x 3x 3x 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 2x 3x 3x 11x 13 = 20592

Therefore, the value for common factors is 20592.

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 = 1484106624/(1x20592)

LCM = 1484106624/20592

LCM = 72072

Thus, we can understand that the LCM of 8,429,462,936 is 72072.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 8, 429, 462, 936

1. What is the LCM of 8, 429, 462, 936?

Answer: LCM of 8, 429, 462, 936 is 72072.

2. How to calculate the LCM of 8, 429, 462, 936?

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 8, 429, 462, 936.

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}.