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 405, 105, 735, 279, 780

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


Find the LCM of 405, 105, 735, 279, 780 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 405, 105, 735, 279, 780. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 405,105,735,279,780

Given numbers are 405,105,735,279,780

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

The LCM of 405,105,735,279,780 is 31990140.

Find LCM of 405,105,735,279,780 with Prime Factorization


3 405, 105, 735, 279, 780
3 135, 35, 245, 93, 260
5 45, 35, 245, 31, 260
7 9, 7, 49, 31, 52
9, 1, 7, 31, 52

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

3 x 3 x 5 x 7 x 9 x 1 x 7 x 31 x 52 = 31990140

Therefore, the lowest common multiple of 405,105,735,279,780 is 31990140.

LCM Formula to Find Lowest Common Multiple of 405,105,735,279,780

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.

405 x 105 x 735 x 279 x 780 = 6801903517500

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.

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

105 : 1, 3, 5, 7, 15, 21, 35, 105

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

279 : 1, 3, 9, 31, 93, 279

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,105,735,279,780, is 3.

Now, the common factors can be found like this.

405:3x 3x 3x 3x 5

105:3x 5x 7

735:3x 5x 7x 7

279:3x 3x 31

780:2x 2x 3x 5x 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 3x 3x 5x 5x 5x 7 = 70875

Therefore, the value for common factors is 70875.

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 = 6801903517500/(3x70875)

LCM = 6801903517500/212625

LCM = 31990140

Thus, we can understand that the LCM of 405,105,735,279,780 is 31990140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 405, 105, 735, 279, 780

1. What is the LCM of 405, 105, 735, 279, 780?

Answer: LCM of 405, 105, 735, 279, 780 is 31990140.

2. How to calculate the LCM of 405, 105, 735, 279, 780?

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 405, 105, 735, 279, 780.

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}.