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 369, 552, 915, 805, 451

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


Find the LCM of 369, 552, 915, 805, 451 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 369, 552, 915, 805, 451. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 369,552,915,805,451

Given numbers are 369,552,915,805,451

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

The LCM of 369,552,915,805,451 is 1594537560.

Find LCM of 369,552,915,805,451 with Prime Factorization


3 369, 552, 915, 805, 451
5 123, 184, 305, 805, 451
23 123, 184, 61, 161, 451
41 123, 8, 61, 7, 451
3, 8, 61, 7, 11

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

3 x 5 x 23 x 41 x 3 x 8 x 61 x 7 x 11 = 1594537560

Therefore, the lowest common multiple of 369,552,915,805,451 is 1594537560.

LCM Formula to Find Lowest Common Multiple of 369,552,915,805,451

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.

369 x 552 x 915 x 805 x 451 = 67664201358600

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.

369 : 1, 3, 9, 41, 123, 369

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

915 : 1, 3, 5, 15, 61, 183, 305, 915

805 : 1, 5, 7, 23, 35, 115, 161, 805

451 : 1, 11, 41, 451

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,552,915,805,451, is 1.

Now, the common factors can be found like this.

369:3x 3x 41

552:2x 2x 2x 3x 23

915:3x 5x 61

805:5x 7x 23

451:11x 41

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 23x 41 = 42435

Therefore, the value for common factors is 42435.

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 = 67664201358600/(1x42435)

LCM = 67664201358600/42435

LCM = 1594537560

Thus, we can understand that the LCM of 369,552,915,805,451 is 1594537560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 369, 552, 915, 805, 451

1. What is the LCM of 369, 552, 915, 805, 451?

Answer: LCM of 369, 552, 915, 805, 451 is 1594537560.

2. How to calculate the LCM of 369, 552, 915, 805, 451?

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 369, 552, 915, 805, 451.

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}.