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LCM of 815, 163, 146, 604

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


Find the LCM of 815, 163, 146, 604 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 815, 163, 146, 604. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 815,163,146,604

Given numbers are 815,163,146,604

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

The LCM of 815,163,146,604 is 35934980.

Find LCM of 815,163,146,604 with Prime Factorization


2 815, 163, 146, 604
163 815, 163, 73, 302
5, 1, 73, 302

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

2 x 163 x 5 x 1 x 73 x 302 = 35934980

Therefore, the lowest common multiple of 815,163,146,604 is 35934980.

LCM Formula to Find Lowest Common Multiple of 815,163,146,604

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.

815 x 163 x 146 x 604 = 11714803480

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.

815 : 1, 5, 163, 815

163 : 1, 163

146 : 1, 2, 73, 146

604 : 1, 2, 4, 151, 302, 604

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,163,146,604, is 1.

Now, the common factors can be found like this.

815:5x 163

163:163

146:2x 73

604:2x 2x 151

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

2x 163 = 326

Therefore, the value for common factors is 326.

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 = 11714803480/(1x326)

LCM = 11714803480/326

LCM = 35934980

Thus, we can understand that the LCM of 815,163,146,604 is 35934980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 815, 163, 146, 604

1. What is the LCM of 815, 163, 146, 604?

Answer: LCM of 815, 163, 146, 604 is 35934980.

2. How to calculate the LCM of 815, 163, 146, 604?

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 815, 163, 146, 604.

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}.