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LCM of 397, 182, 906, 483

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


Find the LCM of 397, 182, 906, 483 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 397, 182, 906, 483. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 397,182,906,483

Given numbers are 397,182,906,483

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

The LCM of 397,182,906,483 is 752814426.

Find LCM of 397,182,906,483 with Prime Factorization


2 397, 182, 906, 483
3 397, 91, 453, 483
7 397, 91, 151, 161
397, 13, 151, 23

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

2 x 3 x 7 x 397 x 13 x 151 x 23 = 752814426

Therefore, the lowest common multiple of 397,182,906,483 is 752814426.

LCM Formula to Find Lowest Common Multiple of 397,182,906,483

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.

397 x 182 x 906 x 483 = 31618205892

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.

397 : 1, 397

182 : 1, 2, 7, 13, 14, 26, 91, 182

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

483 : 1, 3, 7, 21, 23, 69, 161, 483

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,182,906,483, is 1.

Now, the common factors can be found like this.

397:397

182:2x 7x 13

906:2x 3x 151

483:3x 7x 23

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 7 = 42

Therefore, the value for common factors is 42.

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 = 31618205892/(1x42)

LCM = 31618205892/42

LCM = 752814426

Thus, we can understand that the LCM of 397,182,906,483 is 752814426.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 397, 182, 906, 483

1. What is the LCM of 397, 182, 906, 483?

Answer: LCM of 397, 182, 906, 483 is 752814426.

2. How to calculate the LCM of 397, 182, 906, 483?

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 397, 182, 906, 483.

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}.