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LCM of 855, 598, 345, 385

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


Find the LCM of 855, 598, 345, 385 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 855, 598, 345, 385. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 855,598,345,385

Given numbers are 855,598,345,385

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

The LCM of 855,598,345,385 is 39369330.

Find LCM of 855,598,345,385 with Prime Factorization


3 855, 598, 345, 385
5 285, 598, 115, 385
23 57, 598, 23, 77
57, 26, 1, 77

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

3 x 5 x 23 x 57 x 26 x 1 x 77 = 39369330

Therefore, the lowest common multiple of 855,598,345,385 is 39369330.

LCM Formula to Find Lowest Common Multiple of 855,598,345,385

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.

855 x 598 x 345 x 385 = 67912094250

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.

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

598 : 1, 2, 13, 23, 26, 46, 299, 598

345 : 1, 3, 5, 15, 23, 69, 115, 345

385 : 1, 5, 7, 11, 35, 55, 77, 385

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,598,345,385, is 1.

Now, the common factors can be found like this.

855:3x 3x 5x 19

598:2x 13x 23

345:3x 5x 23

385:5x 7x 11

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

3x 5x 5x 23 = 1725

Therefore, the value for common factors is 1725.

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 = 67912094250/(1x1725)

LCM = 67912094250/1725

LCM = 39369330

Thus, we can understand that the LCM of 855,598,345,385 is 39369330.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 855, 598, 345, 385

1. What is the LCM of 855, 598, 345, 385?

Answer: LCM of 855, 598, 345, 385 is 39369330.

2. How to calculate the LCM of 855, 598, 345, 385?

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 855, 598, 345, 385.

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}.