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LCM of 812, 441, 246, 764, 595

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


Find the LCM of 812, 441, 246, 764, 595 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 812, 441, 246, 764, 595. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 812,441,246,764,595

Given numbers are 812,441,246,764,595

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

The LCM of 812,441,246,764,595 is 34051224060.

Find LCM of 812,441,246,764,595 with Prime Factorization


2 812, 441, 246, 764, 595
2 406, 441, 123, 382, 595
3 203, 441, 123, 191, 595
7 203, 147, 41, 191, 595
29, 21, 41, 191, 85

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

2 x 2 x 3 x 7 x 29 x 21 x 41 x 191 x 85 = 34051224060

Therefore, the lowest common multiple of 812,441,246,764,595 is 34051224060.

LCM Formula to Find Lowest Common Multiple of 812,441,246,764,595

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.

812 x 441 x 246 x 764 x 595 = 40044239494560

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.

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

246 : 1, 2, 3, 6, 41, 82, 123, 246

764 : 1, 2, 4, 191, 382, 764

595 : 1, 5, 7, 17, 35, 85, 119, 595

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,441,246,764,595, is 1.

Now, the common factors can be found like this.

812:2x 2x 7x 29

441:3x 3x 7x 7

246:2x 3x 41

764:2x 2x 191

595:5x 7x 17

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 3x 7x 7 = 1176

Therefore, the value for common factors is 1176.

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 = 40044239494560/(1x1176)

LCM = 40044239494560/1176

LCM = 34051224060

Thus, we can understand that the LCM of 812,441,246,764,595 is 34051224060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 812, 441, 246, 764, 595

1. What is the LCM of 812, 441, 246, 764, 595?

Answer: LCM of 812, 441, 246, 764, 595 is 34051224060.

2. How to calculate the LCM of 812, 441, 246, 764, 595?

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 812, 441, 246, 764, 595.

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}.