LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 351, 539, 115, 385, 234

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


Find the LCM of 351, 539, 115, 385, 234 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 351, 539, 115, 385, 234. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 351,539,115,385,234

Given numbers are 351,539,115,385,234

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

The LCM of 351,539,115,385,234 is 43513470.

Find LCM of 351,539,115,385,234 with Prime Factorization


3 351, 539, 115, 385, 234
3 117, 539, 115, 385, 78
5 39, 539, 115, 385, 26
7 39, 539, 23, 77, 26
11 39, 11, 23, 77, 26
13 39, 1, 23, 7, 26
3, 1, 23, 7, 2

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

3 x 3 x 5 x 7 x 11 x 13 x 3 x 1 x 23 x 7 x 2 = 43513470

Therefore, the lowest common multiple of 351,539,115,385,234 is 43513470.

LCM Formula to Find Lowest Common Multiple of 351,539,115,385,234

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.

351 x 539 x 115 x 385 x 234 = 1960064256150

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.

351 : 1, 3, 9, 13, 27, 39, 117, 351

539 : 1, 7, 11, 49, 77, 539

115 : 1, 5, 23, 115

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

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,539,115,385,234, is 1.

Now, the common factors can be found like this.

351:3x 3x 3x 13

539:7x 7x 11

115:5x 23

385:5x 7x 11

234:2x 3x 3x 13

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

3x 3x 5x 7x 11x 13 = 45045

Therefore, the value for common factors is 45045.

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 = 1960064256150/(1x45045)

LCM = 1960064256150/45045

LCM = 43513470

Thus, we can understand that the LCM of 351,539,115,385,234 is 43513470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 351, 539, 115, 385, 234

1. What is the LCM of 351, 539, 115, 385, 234?

Answer: LCM of 351, 539, 115, 385, 234 is 43513470.

2. How to calculate the LCM of 351, 539, 115, 385, 234?

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 351, 539, 115, 385, 234.

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}.