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LCM of 615, 849, 770, 429, 798

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


Find the LCM of 615, 849, 770, 429, 798 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 615, 849, 770, 429, 798. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 615,849,770,429,798

Given numbers are 615,849,770,429,798

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

The LCM of 615,849,770,429,798 is 6620323710.

Find LCM of 615,849,770,429,798 with Prime Factorization


2 615, 849, 770, 429, 798
3 615, 849, 385, 429, 399
5 205, 283, 385, 143, 133
7 41, 283, 77, 143, 133
11 41, 283, 11, 143, 19
41, 283, 1, 13, 19

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

2 x 3 x 5 x 7 x 11 x 41 x 283 x 1 x 13 x 19 = 6620323710

Therefore, the lowest common multiple of 615,849,770,429,798 is 6620323710.

LCM Formula to Find Lowest Common Multiple of 615,849,770,429,798

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.

615 x 849 x 770 x 429 x 798 = 137636529930900

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.

615 : 1, 3, 5, 15, 41, 123, 205, 615

849 : 1, 3, 283, 849

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

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

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 615,849,770,429,798, is 1.

Now, the common factors can be found like this.

615:3x 5x 41

849:3x 283

770:2x 5x 7x 11

429:3x 11x 13

798:2x 3x 7x 19

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 3x 3x 5x 7x 11 = 20790

Therefore, the value for common factors is 20790.

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 = 137636529930900/(1x20790)

LCM = 137636529930900/20790

LCM = 6620323710

Thus, we can understand that the LCM of 615,849,770,429,798 is 6620323710.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 615, 849, 770, 429, 798

1. What is the LCM of 615, 849, 770, 429, 798?

Answer: LCM of 615, 849, 770, 429, 798 is 6620323710.

2. How to calculate the LCM of 615, 849, 770, 429, 798?

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 615, 849, 770, 429, 798.

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}.