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LCM of 493, 413, 906, 151

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


Find the LCM of 493, 413, 906, 151 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 493, 413, 906, 151. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 493,413,906,151

Given numbers are 493,413,906,151

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

The LCM of 493,413,906,151 is 184469754.

Find LCM of 493,413,906,151 with Prime Factorization


151 493, 413, 906, 151
493, 413, 6, 1

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

151 x 493 x 413 x 6 x 1 = 184469754

Therefore, the lowest common multiple of 493,413,906,151 is 184469754.

LCM Formula to Find Lowest Common Multiple of 493,413,906,151

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.

493 x 413 x 906 x 151 = 27854932854

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.

493 : 1, 17, 29, 493

413 : 1, 7, 59, 413

906 : 1, 2, 3, 6, 151, 302, 453, 906

151 : 1, 151

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,413,906,151, is 1.

Now, the common factors can be found like this.

493:17x 29

413:7x 59

906:2x 3x 151

151:151

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

151 = 151

Therefore, the value for common factors is 151.

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 = 27854932854/(1x151)

LCM = 27854932854/151

LCM = 184469754

Thus, we can understand that the LCM of 493,413,906,151 is 184469754.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 493, 413, 906, 151

1. What is the LCM of 493, 413, 906, 151?

Answer: LCM of 493, 413, 906, 151 is 184469754.

2. How to calculate the LCM of 493, 413, 906, 151?

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 493, 413, 906, 151.

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}.